Generalizing the Singular Value Decomposition
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- Infinite Vector Decomposition in Tridiagonal Matrix Enhanced Multivariance Products Representation (TMEMPR) Perspective2014 International Conference on Mathematics and Computers in Sciences and in Industry | 1 Sep 2014
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- DISCO-SCA and Properly Applied GSVD as Swinging Methods to Find Common and Distinctive ProcessesPLoS ONE, Vol. 7, No. 5 | 31 May 2012
- New Interference Suppression Precoding Scheme for Downlink Multi-User Multi-Stream MIMO Systems2012 IEEE 75th Vehicular Technology Conference (VTC Spring) | 1 May 2012
- Solving Ill-Posed Linear Systems with GMRES and a Singular PreconditionerSIAM Journal on Matrix Analysis and Applications, Vol. 33, No. 4 | 13 December 2012
- Effective condition number for weighted linear least squares problems and applications to the Trefftz methodEngineering Analysis with Boundary Elements, Vol. 36, No. 1 | 1 Jan 2012
- Joint Unitary Triangularization for MIMO NetworksIEEE Transactions on Signal Processing, Vol. 60, No. 1 | 1 Jan 2012
- A Higher-Order Generalized Singular Value Decomposition for Comparison of Global mRNA Expression from Multiple OrganismsPLoS ONE, Vol. 6, No. 12 | 22 December 2011
- The inverse problem of bimorph mirror tuning on a beamlineJournal of Synchrotron Radiation, Vol. 18, No. 6 | 30 September 2011
- An analytic approach to the problem of separability of quantum states based upon the theory of conesQuantum Information Processing, Vol. 10, No. 5 | 25 December 2010
- Physical-layer MIMO relaying2011 IEEE International Symposium on Information Theory Proceedings | 1 Jul 2011
- An equivalence canonical form of a matrix triplet over an arbitrary division ring with applicationsScience China Mathematics, Vol. 54, No. 5 | 8 January 2011
- Simultaneous SDR optimality via a joint matrix decomposition2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) | 1 May 2011
- Achieving higher uplink performance and capacity via non-overlapping window adaptive maximum noise fraction beamforming techniqueIET Communications, Vol. 5, No. 5 | 25 Mar 2011
- Reduced Order Models Using Generalized EigenanalysisProceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, Vol. 225, No. 1 | 25 January 2011
- Fast Sparse Cholesky Decomposition and Inversion using Nested Dissection Matrix ReorderingJournal of Chemical Theory and Computation, Vol. 7, No. 2 | 10 January 2011
- Condition numbers and perturbation analysis for the Tikhonov regularization of discrete ill-posed problemsNumerical Linear Algebra with Applications, Vol. 18, No. 1 | 4 February 2010
- An Online Human Activity Recognizer for Mobile Phones with AccelerometerNeural Information Processing | 1 Jan 2011
- Generalized nonlinear discriminant analysis and its small sample size problemsNeurocomputing, Vol. 74, No. 4 | 1 Jan 2011
- Real controllability radius of higher-order, descriptor, and time-delay LTI systemsIFAC Proceedings Volumes, Vol. 44, No. 1 | 1 Jan 2011
- Generalized Singular Value Decomposition for Coordinated Beamforming in MIMO Systems2010 IEEE Global Telecommunications Conference GLOBECOM 2010 | 1 Dec 2010
- Secure Transmission With Multiple Antennas—Part II: The MIMOME Wiretap ChannelIEEE Transactions on Information Theory, Vol. 56, No. 11 | 1 Nov 2010
- Linear mapping function to the influence of non-invasive ICP assessmentJOURNAL OF ELECTRONIC MEASUREMENT AND INSTRUMENT, Vol. 24, No. 8 | 10 Sep 2010
- Decomposing the MIMO broadcast channel2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton) | 1 Sep 2010
- Effective condition number and its applicationsComputing, Vol. 89, No. 1-2 | 22 June 2010
- Successive projection iterative method for solving matrix equation AX=BJournal of Computational and Applied Mathematics, Vol. 234, No. 8 | 1 Aug 2010
- The structured distance to uncontrollability under multi-perturbations: An approach using multi-valued linear operatorsSystems & Control Letters, Vol. 59, No. 8 | 1 Aug 2010
- Investigations into reconstruction techniques for the National Ignition Facility Neutron Imaging SystemJournal of Physics: Conference Series, Vol. 244, No. 3 | 16 September 2010
- Measurement of jet fragmentation p + p collision at = 200 GeV with the PHENIX detectorJournal of Physics: Conference Series, Vol. 230 | 8 July 2010
- A new and fast implementation for null space based linear discriminant analysisPattern Recognition, Vol. 43, No. 4 | 1 Apr 2010
- Lavoie inequalities for weighted generalized inverses of matricesLinear and Multilinear Algebra, Vol. 58, No. 3 | 1 Apr 2010
- Perturbation Theory Approach to Stellarator Coil OptimizationFusion Science and Technology, Vol. 57, No. 2 | 7 April 2017
- A New and Fast Orthogonal Linear Discriminant Analysis on Undersampled ProblemsSIAM Journal on Scientific Computing, Vol. 32, No. 4 | 4 August 2010
- Other ContributionsG.W. Stewart | 1 Jan 2010
- Relative perturbation bounds for weighted polar decompositionComputers & Mathematics with Applications, Vol. 59, No. 2 | 1 Jan 2010
- Restricted real perturbation values with applications to the structured real controllability radius of LTI systemsProceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference | 1 Dec 2009
- The condition numbers for weighted Moore–Penrose inverse and weighted linear least squares problemApplied Mathematics and Computation, Vol. 215, No. 1 | 1 Sep 2009
- A Jacobi–Davidson type method for the generalized singular value problemLinear Algebra and its Applications, Vol. 431, No. 3-4 | 1 Jul 2009
- Compare time series mining approaches for mapping function assessment2009 International Conference on Communications, Circuits and Systems | 1 Jul 2009
- Efficient GSVD Based Multi-User MIMO Linear Precoding and Antenna Selection Scheme2009 IEEE International Conference on Communications | 1 Jun 2009
- Minimax entropy solutions of ill-posed problemsQuarterly of Applied Mathematics, Vol. 67, No. 1 | 8 January 2009
- Error estimation for a weighted minimum-norm least squares solution with positive definite weightsComputational Mathematics and Mathematical Physics, Vol. 49, No. 3 | 6 April 2009
- A Note on Backward Error Analysis of the Generalized Singular Value DecompositionSIAM Journal on Matrix Analysis and Applications, Vol. 30, No. 4 | 16 October 2008
- Linear parameter estimation of rational biokinetic functionsWater Research, Vol. 43, No. 1 | 1 Jan 2009
- Generalized real perturbation values with applications to the structured real controllability radius of LTI systems2009 American Control Conference | 1 Jan 2009
- Time Series Mining Approach for Noninvasive Intracranial Pressure Assessment: An Investigation of Different Regularization Techniques2009 WRI World Congress on Computer Science and Information Engineering | 1 Jan 2009
- Combining transcriptional datasets using the generalized singular value decompositionBMC Bioinformatics, Vol. 9, No. 1 | 8 August 2008
- Reliability analysis of computer solutions of systems of linear algebraic equations with approximate initial dataCybernetics and Systems Analysis, Vol. 44, No. 6 | 4 December 2008
- Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant normNumerical Linear Algebra with Applications, Vol. 15, No. 8 | 19 March 2008
- Text categorization via generalized discriminant analysisInformation Processing & Management, Vol. 44, No. 5 | 1 Sep 2008
- Effective condition number for numerical partial differential equationsNumerical Linear Algebra with Applications, Vol. 15, No. 7 | 7 February 2008
- Weighted UDV∗-decomposition and weighted spectral decomposition for rectangular matrices and their applicationsApplied Mathematics and Computation, Vol. 198, No. 1 | 1 Apr 2008
- On level-2 condition number for the weighted Moore–Penrose inverseComputers & Mathematics with Applications, Vol. 55, No. 4 | 1 Feb 2008
- The representation and approximation for the weighted Minkowski inverse in Minkowski spaceMathematical and Computer Modelling, Vol. 47, No. 3-4 | 1 Feb 2008
- Weighted Polar Decomposition and WGL Partial Ordering of Rectangular Complex MatricesSIAM Journal on Matrix Analysis and Applications, Vol. 30, No. 2 | 17 September 2008
- Cluster-Preserving Dimension Reduction Methods for Document ClassificationSurvey of Text Mining II | 1 Jan 2008
- Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. I. Positive definite weightsCybernetics and Systems Analysis, Vol. 44, No. 1 | 1 Jan 2008
- Efficient and spurious-free integral-equation-based optical waveguide mode solverOptics Express, Vol. 15, No. 22 | 18 October 2007
- Discriminant Subspace Analysis: A Fukunaga-Koontz ApproachIEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 29, No. 10 | 1 Oct 2007
- KERNEL GBDA FOR RELEVANCE FEEDBACK IN IMAGE RETRIEVALInternational Journal of Image and Graphics, Vol. 07, No. 04 | 20 November 2011
- Vector least-squares solutions for coupled singular matrix equationsJournal of Computational and Applied Mathematics, Vol. 206, No. 2 | 1 Sep 2007
- A Partial Condition Number for Linear Least Squares ProblemsSIAM Journal on Matrix Analysis and Applications, Vol. 29, No. 2 | 3 April 2007
- Using discriminant analysis for multi-class classification: an experimental investigationKnowledge and Information Systems, Vol. 10, No. 4 | 24 March 2006
- Condition numbers with their condition numbers for the weighted moore-penrose inverse and the weighted least squares solutionJournal of Applied Mathematics and Computing, Vol. 22, No. 1-2 | 1 Sep 2006
- Spatial interest pixels (SIPs): useful low-level features of visual media dataMultimedia Tools and Applications, Vol. 30, No. 1 | 1 June 2006
- An improved Newton iteration for the weighted Moore–Penrose inverseApplied Mathematics and Computation, Vol. 174, No. 2 | 1 Mar 2006
- Solving the small sample size problem in face recognition using generalized discriminant analysisPattern Recognition, Vol. 39, No. 2 | 1 Feb 2006
- An Algorithm for High-Dimensional Traffic Data ClusteringFuzzy Systems and Knowledge Discovery | 1 Jan 2006
- Jointly Analyzing Gene Expression and Copy Number Data in Breast Cancer Using Data Reduction ModelsIEEE/ACM Transactions on Computational Biology and Bioinformatics, Vol. 3, No. 1 | 1 Jan 2006
- Matrix Rank Reduction for Data Analysis and Feature ExtractionHandbook of Parallel Computing and Statistics | 30 January 2010
- Linear Algebra, ComputationalEncyclopedia of Statistical Sciences | 15 August 2006
- A two-stage linear discriminant analysis via QR-decompositionIEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 27, No. 6 | 1 Jun 2005
- Generalized Regularization Techniques with Constraints for the Analysis of Solar Bremsstrahlung X-ray SpectraSolar Physics, Vol. 225, No. 2 | 1 Dec 2004
- Linear Algebra, ComputationalEncyclopedia of Statistical Sciences | 15 October 2004
- Matrices with special reference to applications in psychometricsLinear Algebra and its Applications, Vol. 388 | 1 Sep 2004
- Some topics on weighted Moore–Penrose inverse, weighted least squares and weighted regularized Tikhonov problemsApplied Mathematics and Computation, Vol. 157, No. 1 | 1 Sep 2004
- Generalized inverse A(2)T,S and a rank equationApplied Mathematics and Computation, Vol. 155, No. 2 | 1 Aug 2004
- An optimization criterion for generalized discriminant analysis on undersampled problemsIEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 26, No. 8 | 1 Aug 2004
- Generalizing discriminant analysis using the generalized singular value decompositionIEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 26, No. 8 | 1 Aug 2004
- Displacement structure of weighted pseudoinversesApplied Mathematics and Computation, Vol. 153, No. 2 | 1 Jun 2004
- Weighted Tikhonov filter matrices for ill-posed problemsApplied Mathematics and Computation, Vol. 149, No. 2 | 1 Feb 2004
- Cluster-Preserving Dimension Reduction Methods for Efficient Classification of Text DataSurvey of Text Mining | 1 Jan 2004
- Condition numbers and perturbation of the weighted Moore–Penrose inverse and weighted linear least squares problemApplied Mathematics and Computation, Vol. 145, No. 1 | 1 Dec 2003
- A note on the sensitivity of the solution of the weighted linear least squares problemApplied Mathematics and Computation, Vol. 145, No. 2-3 | 1 Dec 2003
- Structure Preserving Dimension Reduction for Clustered Text Data Based on the Generalized Singular Value DecompositionSIAM Journal on Matrix Analysis and Applications, Vol. 25, No. 1 | 31 July 2006
- Algorithms for the Inverse Problem of ElectrocardiographyComputational Methods in Biophysics, Biomaterials, Biotechnology and Medical Systems | 1 Jan 2003
- Relationships among Various Kinds of Eigenvalue and Singular Value DecompositionsNew Developments in Psychometrics | 1 Jan 2003
- An implicit Jacobi-like method for computing generalized hyperbolic SVDLinear Algebra and its Applications, Vol. 358, No. 1-3 | 1 Jan 2003
- Inverse problem theory in the optical depth profilometry of thin filmsReview of Scientific Instruments, Vol. 73, No. 12 | 1 Dec 2002
- Evaluating products of matrix pencils and collapsing matrix productsNumerical Linear Algebra with Applications, Vol. 8, No. 6-7 | 31 July 2001
- The weighted Moore–Penrose inverse of modified matricesApplied Mathematics and Computation, Vol. 122, No. 1 | 1 Jul 2001
- The representation and approximation for the weighted Moore–Penrose inverseApplied Mathematics and Computation, Vol. 121, No. 1 | 1 May 2001
- On Accurate Quotient Singular Value Computation in Floating-Point ArithmeticSIAM Journal on Matrix Analysis and Applications, Vol. 22, No. 3 | 31 July 2006
- A regularization approach for the determination of remission curvesInverse Problems in Engineering, Vol. 9, No. 2 | 1 Jan 2001
- Successive matrix squaring algorithm for parallel computing the weighted generalized inverse AMN+Applied Mathematics and Computation, Vol. 116, No. 3 | 1 Dec 2000
- Some new properties of the equality constrained and weighted least squares problemLinear Algebra and its Applications, Vol. 320, No. 1-3 | 1 Nov 2000
- The 2.5 THz heterodyne spectrometer THOMAS: Measurement of OH in the middle atmosphere and comparison with photochemical model resultsJournal of Geophysical Research: Atmospheres, Vol. 105, No. D17 | 1 September 2000
- On a variational formulation of the QSVD and the RSVDLinear Algebra and its Applications, Vol. 311, No. 1-3 | 1 May 2000
- Relative perturbation theory: IV. sin 2θ theoremsLinear Algebra and its Applications, Vol. 311, No. 1-3 | 1 May 2000
- Optimal perturbation bounds for the Hermitian eigenvalue problemLinear Algebra and its Applications, Vol. 309, No. 1-3 | 1 Apr 2000
- Expression for the perturbation of the weighted Moore-Penrose inverseComputers & Mathematics with Applications, Vol. 39, No. 5-6 | 1 Mar 2000
- Two Purposes for Matrix Factorization: A Historical AppraisalSIAM Review, Vol. 42, No. 1 | 4 August 2006
- Updating a Generalized URV DecompositionSIAM Journal on Matrix Analysis and Applications, Vol. 22, No. 2 | 31 July 2006
- New Accurate Algorithms for Singular Value Decomposition of Matrix TripletsSIAM Journal on Matrix Analysis and Applications, Vol. 21, No. 3 | 31 July 2006
- On the Computation of the Restricted Singular Value Decomposition via the Cosine-Sine DecompositionSIAM Journal on Matrix Analysis and Applications, Vol. 22, No. 2 | 31 July 2006
- Condition Number and Backward Error for the Generalized Singular Value DecompositionSIAM Journal on Matrix Analysis and Applications, Vol. 22, No. 2 | 31 July 2006
- Computing approximate stationary distributions for discrete Markov processes with banded infinitesimal generatorsJournal of Applied Probability, Vol. 36, No. 04 | 14 July 2016
- Computing approximate stationary distributions for discrete Markov processes with banded infinitesimal generatorsJournal of Applied Probability, Vol. 36, No. 4 | 14 July 2016
- Perturbation bound of singular linear systemsApplied Mathematics and Computation, Vol. 105, No. 2-3 | 1 Nov 1999
- Methods and algorithms of solving spectral problems for polynomial and rational matricesJournal of Mathematical Sciences, Vol. 96, No. 3 | 1 Sep 1999
- A practical regularization for seismic tomographyGeophysical Journal International, Vol. 138, No. 2 | 1 Aug 1999
- A comparison of higher-order generalized eigensystem techniques and tikhonov regularization for the inverse problem of electrocardiography *Inverse Problems in Engineering, Vol. 7, No. 2 | 1 Apr 1999
- Perturbation Bounds for Least Squares Problems with Equality ConstraintsJournal of Mathematical Analysis and Applications, Vol. 229, No. 2 | 1 Jan 1999
- Parallel Computation of the SVD of a Matrix ProductRecent Advances in Parallel Virtual Machine and Message Passing Interface | 19 April 2002
- Verification Algorithms for Generalized Singular ValuesMathematische Nachrichten, Vol. 208, No. 1 | 20 September 2010
- Construction and Algebraic Characterizations of the Planar and Axial Transportation ProblemsJournal of Mathematical Analysis and Applications, Vol. 220, No. 2 | 1 Apr 1998
- Tikhonov regularization and prior information in electrical impedance tomographyIEEE Transactions on Medical Imaging, Vol. 17, No. 2 | 1 Apr 1998
- Modifying the generalized singular value decomposition with application with application in direction-of-arrival findingBIT Numerical Mathematics, Vol. 38, No. 1 | 1 Mar 1998
- New perturbation results for equality-constrained least squares problemsLinear Algebra and its Applications, Vol. 272, No. 1-3 | 1 Mar 1998
- A Tangent Algorithm for Computing the Generalized Singular Value DecompositionSIAM Journal on Numerical Analysis, Vol. 35, No. 5 | 25 July 2006
- Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on RegularizationSIAM Review, Vol. 40, No. 3 | 2 August 2006
- Relative Perturbation Theory: I. Eigenvalue and Singular Value VariationsSIAM Journal on Matrix Analysis and Applications, Vol. 19, No. 4 | 31 July 2006
- On a Variational Formulation of the Generalized Singular Value DecompositionSIAM Journal on Matrix Analysis and Applications, Vol. 18, No. 4 | 31 July 2006
- The SSATS Algorithm and Subspace MethodsApplications of Computer Aided Time Series Modeling | 1 Jan 1997
- Parallel (M−N)SVD algorithms on the SIMD computersWuhan University Journal of Natural Sciences, Vol. 1, No. 3-4 | 1 Dec 1996
- Damage detection by system identification. An application of the generalized singular value decompositionArchive of Applied Mechanics, Vol. 66, No. 8 | 1 Sep 1996
- Computing eigenvalues and singular values of Toeplitz matricesCALCOLO, Vol. 33, No. 3-4 | 1 Sep 1996
- When Does A * A = B * B and Why Does One Want to Know?The American Mathematical Monthly, Vol. 103, No. 6 | 18 April 2018
- Parametric identification of transfer functions in the frequency domain-a surveyIEEE Transactions on Automatic Control, Vol. 39, No. 11 | 1 Nov 1994
- Structures and uniqueness conditions of MK-weighted pseudoinversesBIT, Vol. 34, No. 3 | 1 Sep 1994
- History and generality of the CS decompositionLinear Algebra and its Applications, Vol. 208-209 | 1 Sep 1994
- Multilayer neural networks for reduced-rank approximationIEEE Transactions on Neural Networks, Vol. 5, No. 5 | 1 Sep 1994
- Generalized Epsilon-PseudospectraSIAM Journal on Numerical Analysis, Vol. 31, No. 4 | 14 July 2006
- ESPRIT Direction-of-Arrival Estimation in the Presence of Spatially Correlated NoiseSIAM Journal on Matrix Analysis and Applications, Vol. 15, No. 1 | 31 July 2006
- On the Structure of Generalized Singular Value and QR DecompositionsSIAM Journal on Matrix Analysis and Applications, Vol. 15, No. 1 | 31 July 2006
- Analysis of the generalized total least squares problemAX?B when some columns ofA are free of errorNumerische Mathematik, Vol. 65, No. 1 | 1 Dec 1993
- Computing the Generalized Singular Value DecompositionSIAM Journal on Scientific Computing, Vol. 14, No. 6 | 13 July 2006
- A New Preprocessing Algorithm for the Computation of the Generalized Singular Value DecompositionSIAM Journal on Scientific Computing, Vol. 14, No. 4 | 13 July 2006
- Subspace algorithms for the stochastic identification problemAutomatica, Vol. 29, No. 3 | 1 May 1993
- Bounds on Perturbations of Generalized Singular Values and of Associated SubspacesSIAM Journal on Matrix Analysis and Applications, Vol. 14, No. 1 | 17 July 2006
- Numerical tools for analysis and solution of Fredholm integral equations of the first kindInverse Problems, Vol. 8, No. 6 | 1 January 1999
- Generalizations of the Singular Value and QR-DecompositionsSIAM Journal on Matrix Analysis and Applications, Vol. 13, No. 4 | 17 July 2006
- Perturbation Theory for the Rank-Deficient Equality Constrained Least Squares ProblemSIAM Journal on Numerical Analysis, Vol. 29, No. 5 | 14 July 2006
- On the structure and geometry of the product singular value decompositionLinear Algebra and its Applications, Vol. 168 | 1 Apr 1992
- A reliable and fast method for the solution of Fredhol integral equations of the first kind based on Tikhonov regularizationComputer Physics Communications, Vol. 69, No. 1 | 1 Feb 1992
- Algebraic properties of the rank-deficient equality-constrained and weighted least squares problemsLinear Algebra and its Applications, Vol. 161 | 1 Jan 1992
- Chapter 6 A survey of matrix computationsComputing | 1 Jan 1992
- Generalizations of the singular value and QR decompositionsSignal Processing, Vol. 25, No. 2 | 1 Nov 1991
- An accurate product SVD algorithmSignal Processing, Vol. 25, No. 2 | 1 Nov 1991
- An Algorithm for $Ax = \lambda Bx$ with Symmetric and Positive-Definite A and BSIAM Journal on Matrix Analysis and Applications, Vol. 12, No. 4 | 17 July 2006
- Multivariate, minimum-curvature splines for randomly-spaced dataNavigation and Control Conference | 17 August 1991
- The Restricted Singular Value Decomposition: Properties and ApplicationsSIAM Journal on Matrix Analysis and Applications, Vol. 12, No. 3 | 17 July 2006
- Further results on the spectral decomposition of an incidence matrixJournal of Mathematical Analysis and Applications, Vol. 158, No. 2 | 1 Jul 1991
- The Restricted Total Least Squares Problem: Formulation, Algorithm, and PropertiesSIAM Journal on Matrix Analysis and Applications, Vol. 12, No. 2 | 17 July 2006
- Estimator-correlator array processing: Theoretical underpinnings and adaptive implementationMultidimensional Systems and Signal Processing, Vol. 2, No. 1 | 1 Mar 1991
- A continuous Jacobi-like approach to the simultaneous reduction of real matricesLinear Algebra and its Applications, Vol. 147 | 1 Mar 1991
- A tree of generalizations of the ordinary singular value decompositionLinear Algebra and its Applications, Vol. 147 | 1 Mar 1991
- The Restricted Singular Value Decomposition of Matrix TripletsSIAM Journal on Matrix Analysis and Applications, Vol. 12, No. 1 | 17 July 2006
- SVD-based subspace methods for multivariable continuous-time systems identificationIdentification of Continuous-Time Systems | 1 Jan 1991
- Algebraic characterizations of the singular value decompositions in the transportation problemJournal of Mathematical Analysis and Applications, Vol. 154, No. 1 | 1 Jan 1991
- An unsupervised neural model for oriented principal component extraction[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing | 1 Jan 1991
- The discrete picard condition for discrete ill-posed problemsBIT, Vol. 30, No. 4 | 1 Dec 1990
- Order-recursive factorization of the pseudoinverse of a covariance matrixIEEE Transactions on Automatic Control, Vol. 35, No. 12 | 1 Dec 1990
- Relations between SVD and GSVD of Discrete regularization problems in standard and general formLinear Algebra and its Applications, Vol. 141 | 1 Nov 1990
- Regularization and the general Gauss-Markov linear modelMathematics of Computation, Vol. 55, No. 192 | 1 January 1990
- Canonical correlations and generalized SVD: applications and new algorithmsParallel Algorithms for Numerical Linear Algebra | 1 Jan 1990
- Least squares methodsHandbook of Numerical Analysis Volume 1 | 1 Jan 1990
- QSVD approach to on- and off-line state-space identificationInternational Journal of Control, Vol. 51, No. 5 | 22 October 2007
- Canonical variate analysis in identification, filtering, and adaptive control29th IEEE Conference on Decision and Control | 1 Jan 1990
- Regularization,GSVD and truncatedGSVDBIT, Vol. 29, No. 3 | 1 Sep 1989
- Canonical correlations and generalized SVD: Applications and new algorithmsJournal of Computational and Applied Mathematics, Vol. 27, No. 1-2 | 1 Sep 1989
- Analysis and Properties of the Generalized Total Least Squares Problem $AX \approx B$ When Some or All Columns in A are Subject to ErrorSIAM Journal on Matrix Analysis and Applications, Vol. 10, No. 3 | 17 July 2006
- Reduced-rank models for interaction in unequally replicated two-way classificationsJournal of Multivariate Analysis, Vol. 28, No. 1 | 1 Jan 1989
- Leverage in Bayesian RegressionBiometrical Journal, Vol. 31, No. 7 | 18 January 2007
- Finite-dimensional regularization with nonidentity smoothing matricesLinear Algebra and its Applications, Vol. 111 | 1 Dec 1988
- Computation of the singular value expansionComputing, Vol. 40, No. 3 | 1 Sep 1988
- Numerical treatment of restricted gauss-markov model 1Communications in Statistics - Simulation and Computation, Vol. 17, No. 2 | 1 Jan 1988
- Interlacing inequalities for generalized singular valuesLinear Algebra and its Applications, Vol. 87 | 1 Mar 1987
- Computing the Generalized Singular Value DecompositionSIAM Journal on Scientific and Statistical Computing, Vol. 7, No. 4 | 14 July 2006
- RGSVD—AN Algorithm for Computing the Kronecker Structure and Reducing Subspaces of Singular $A - \lambda B$ PencilsSIAM Journal on Scientific and Statistical Computing, Vol. 7, No. 1 | 14 July 2006
- Computing the CS and the generalized singular value decompositionsNumerische Mathematik, Vol. 46, No. 4 | 1 Dec 1985
- A mathematical procedure for solving the inverse potential problem of electrocardiography. analysis of the time-space accuracy from in vitro experimental dataMathematical Biosciences, Vol. 77, No. 1-2 | 1 Dec 1985
- On the Method of Weighting for Equality-Constrained Least-Squares ProblemsSIAM Journal on Numerical Analysis, Vol. 22, No. 5 | 14 July 2006
- The general linear model and the generalized singular value decompositionLinear Algebra and its Applications, Vol. 70 | 1 Oct 1985
- The singular value decomposition in multivariate statisticsACM SIGNUM Newsletter, Vol. 20, No. 3 | 1 July 1985
- ‘Fat’ triangulations, or solving certain nonconvex matrix optimization problemsMathematical Programming, Vol. 31, No. 2 | 1 Jun 1985
- The generalized singular value decomposition and the general (A-λB)-problemBIT, Vol. 24, No. 4 | 1 Dec 1984
- The perturbation bounds for eigenspaces of a definite matrix-pairNumerische Mathematik, Vol. 41, No. 3 | 1 Oct 1983
- Isolating Error Effects in Solving Ill-Posed ProblemsSIAM Journal on Algebraic Discrete Methods, Vol. 4, No. 3 | 17 July 2006
- Perturbation Analysis for the Generalized Singular Value ProblemSIAM Journal on Numerical Analysis, Vol. 20, No. 3 | 17 July 2006
- Pitfalls in the Numerical Solution of Linear Ill-Posed ProblemsSIAM Journal on Scientific and Statistical Computing, Vol. 4, No. 2 | 14 July 2006
- Some Inverse Problems in ElectrocardiologyNumerical Treatment of Inverse Problems in Differential and Integral Equations | 1 Jan 1983
- A method for computing the generalized singular value decompositionMatrix Pencils | 24 August 2006
- Perturbation analysis for the generalized eigenvalue and the generalized singular value problemMatrix Pencils | 24 August 2006
- A generalized SVD analysis of some weighting methods for equality constrained least squaresMatrix Pencils | 24 August 2006
- A weighted pseudoinverse, generalized singular values, and constrained least squares problemsBIT, Vol. 22, No. 4 | 1 Dec 1982
- Computing theCS decomposition of a partitioned orthonormal matrixNumerische Mathematik, Vol. 40, No. 3 | 1 Oct 1982
- Towards a Generalized Singular Value DecompositionSIAM Journal on Numerical Analysis, Vol. 18, No. 3 | 17 July 2006
- Least squares with a quadratic constraintNumerische Mathematik, Vol. 36, No. 3 | 1 Sep 1980
- Perturbation Theory for the Least Squares Problem with Linear Equality ConstraintsSIAM Journal on Numerical Analysis, Vol. 17, No. 3 | 17 July 2006
- A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed ProblemsSIAM Review, Vol. 21, No. 1 | 10 July 2006
- Algorithms for the regularization of ill-conditioned least squares problemsBIT, Vol. 17, No. 2 | 1 Jun 1977
- The impact of the singular value decomposition in system theory, signal processing, and circuit theoryThree Decades of Mathematical System Theory
- Automated and optimal system identification by canonical variablesProceedings of 1994 American Control Conference - ACC '94
- Automated and Objective System Identification Based on Canonical VariablesProceedings. The First IEEE Regional Conference on Aerospace Control Systems,
- Order-recursive factorization of the pseudoinverse of a covariance matrixProceedings of the 27th IEEE Conference on Decision and Control
- Generalized canonical variate analysis of nonlinear systemsProceedings of the 27th IEEE Conference on Decision and Control
- Subspace algorithms for the stochastic identification problem[1991] Proceedings of the 30th IEEE Conference on Decision and Control
- Parametric identification of transfer functions in the frequency domain: a surveyProceedings of 32nd IEEE Conference on Decision and Control
- The quotient SVD and directional aspects of 2 transfer matricesCompEuro 1992 Proceedings Computer Systems and Software Engineering
- Computing the singular values of the product of two matrices in distributed memory multiprocessorsProceedings of 4th Euromicro Workshop on Parallel and Distributed Processing
- Spatial interest pixels (SIPs): useful low-level features of visual media dataThird IEEE International Conference on Data Mining
- A new optimization criterion for generalized discriminant analysis on undersampled problemsThird IEEE International Conference on Data Mining
- Space-time treatment of inverse bioelectric field problemsProceedings of the 22nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society (Cat. No.00CH37143)
- Linear space-time transmitter and receiver processing and scheduling for the MIMO broadcast channel2004 IEEE 59th Vehicular Technology Conference. VTC 2004-Spring (IEEE Cat. No.04CH37514)