Structured low-rank approximation and its applications

[1]  Torsten Söderström,et al.  Errors-in-variables methods in system identification , 2018, Autom..

[2]  I. Markovsky,et al.  Left vs right representations for solving weighted low-rank approximation problems , 2007 .

[3]  Gene H. Golub,et al.  An analysis of the total least squares problem , 1980, Milestones in Matrix Computation.

[4]  S. Graillat A note on structured pseudospectra , 2006 .

[5]  Sabine Van Huffel,et al.  Exact and Approximate Modeling of Linear Systems: A Behavioral Approach (Mathematical Modeling and Computation) (Mathematical Modeling and Computation) , 2006 .

[6]  S. Van Huffel,et al.  Exact and Approximate Modeling of Linear Systems: A Behavioral Approach , 2006 .

[7]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[8]  Bart De Moor,et al.  Comparison of identification algorithms on the database for system identification DAISY , 2006 .

[9]  Bart De Moor,et al.  Matrix Factorization and Stochastic State Representations , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[10]  I. Markovsky,et al.  High-performance numerical algorithms and software for structured total least squares , 2005 .

[11]  I. Markovsky,et al.  Consistency of the structured total least squares estimator in a multivariate errors-in-variables model , 2005 .

[12]  Bart De Moor,et al.  Algorithms for deterministic balanced subspace identification , 2005, Autom..

[13]  Amir Beck,et al.  A Global Solution for the Structured Total Least Squares Problem with Block Circulant Matrices , 2005, SIAM J. Matrix Anal. Appl..

[14]  Sabine Van Huffel,et al.  Block-Toeplitz/Hankel Structured Total Least Squares , 2005, SIAM J. Matrix Anal. Appl..

[15]  L. Trefethen,et al.  Spectra and pseudospectra : the behavior of nonnormal matrices and operators , 2005 .

[16]  J. Willems,et al.  Application of structured total least squares for system identification and model reduction , 2005, IEEE Transactions on Automatic Control.

[17]  J. Willems,et al.  Model Reduction of Systems with Symmetries , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[18]  A. Berman,et al.  Completely Positive Matrices , 2003 .

[19]  G. Golub,et al.  Separable nonlinear least squares: the variable projection method and its applications , 2003 .

[20]  Robert E. Mahony,et al.  The geometry of weighted low-rank approximations , 2003, IEEE Trans. Signal Process..

[21]  Siegfried M. Rump,et al.  Structured Perturbations Part I: Normwise Distances , 2003, SIAM J. Matrix Anal. Appl..

[22]  H. Sebastian Seung,et al.  Learning the parts of objects by non-negative matrix factorization , 1999, Nature.

[23]  Ming Gu,et al.  A Stable and Efficient Algorithm for the Indefinite Linear Least-Squares Problem , 1999, SIAM J. Matrix Anal. Appl..

[24]  Christiaan Heij,et al.  Introduction to mathematical systems theory , 1997 .

[25]  Bernhard Schölkopf,et al.  Kernel Principal Component Analysis , 1997, ICANN.

[26]  Darren T. Andrews,et al.  Maximum likelihood principal component analysis , 1997 .

[27]  Berend Roorda Algorithms for global total least squares modelling of finite multivariable time series , 1995, Autom..

[28]  C. Heij,et al.  Global total least squares modeling of multivariable time series , 1995, IEEE Trans. Autom. Control..

[29]  Bart De Moor,et al.  Total least squares for affinely structured matrices and the noisy realization problem , 1994, IEEE Trans. Signal Process..

[30]  B. Moor Structured total least squares and L2 approximation problems , 1993 .

[31]  Sabine Van Huffel,et al.  The total least squares problem , 1993 .

[32]  Eric M. Dowling,et al.  The Data Least Squares Problem and Channel Equalization , 1993, IEEE Trans. Signal Process..

[33]  Jerry M. Mendel,et al.  The constrained total least squares technique and its applications to harmonic superresolution , 1991, IEEE Trans. Signal Process..

[34]  J. Willems Paradigms and puzzles in the theory of dynamical systems , 1991 .

[35]  Sabine Van Huffel,et al.  Total least squares problem - computational aspects and analysis , 1991, Frontiers in applied mathematics.

[36]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[37]  Jan C. Willems,et al.  From time series to linear system - Part III: Approximate modelling , 1987, Autom..

[38]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[39]  Jan C. Willems,et al.  From time series to linear system - Part II. Exact modelling , 1986, Autom..

[40]  Jan C. Willems,et al.  From time series to linear system - Part I. Finite dimensional linear time invariant systems , 1986, Autom..

[41]  Sun-Yuan Kung,et al.  A new identification and model reduction algorithm via singular value decomposition , 1978 .

[42]  Β. L. HO,et al.  Editorial: Effective construction of linear state-variable models from input/output functions , 1966 .

[43]  C. Eckart,et al.  The approximation of one matrix by another of lower rank , 1936 .