SVD and Signaling Processing III: Algorithms, Architectures, and Applications
Marc Moonen, Bart De Moor · Elsevier eBooks · 1995
Part 1 Keynote papers: implicitly restarted Arnoldi/Lanczos methods and large scale SVD applications, D.C. Sorensen isospectral matrix flows for numerical analysis, U. Helmke the Riemannian singular value decomposition, O.B.L.R. De Moor consistent signal reconstruction and convex coding, N.T. Thao and M. Vetterli. Part 2 Algorithms and theoretical concepts: the orthogonal qd-algorithm accurate singular value computation with the Jacobi method note on the accuracy of the eigensolution of matrices generated by finite elements transpose-free Arnoldi iterations for approximating extremal singular values and vectors a Lanczos algorithm for computing the largest quotient singular values in regularization problems a QR - like SVD algorithm for a product/quotient of several matrices approximating the PSVD and QSVD bounds on singular values revealed by QR factorizations a stable algorithm for downdating the ULV decomposition the importance of a good condition estimator in the URV and ULV algorithms L-ULV(A), a low-rank revealing ULV algorithm fast algorithms for signal subspace fitting with toeplitz matrices and applications to exponential data modelling a block toeplitz look-ahead Schur algorithm the set of 2-by-3 matrix pencils - Kronecker structures and their transitions under perturbations - and versal deformation of matrix pencils J-unitary matrices for algebraic approximation and interpolation - the singular case. Part 3 Architectures and real time implementation: sphericalized SVD updating for subspace tracking real-time architectures for sphericalized SVD updating systolic arrays for SVD downdating subspace separation by discretizations of double bracket flows a continuous time approach to the analysis and design of parallel algorithms for subspace tracking stable Jacobi SVD updating by factorization of the orthogonal matrix transformational reasoning on time-adaptive Jacobi type algorithms adaptive direction-of-arrival estimation based on rank and subspace tracking multiple subspace ULV algorithm and LMS tracking. Part 4 Applications: SVD-based analysis of image boundary distortion the SVD in image restoration two dimensional zero error modelling for image compression robust image processing for remote sensing data SVD for linear inverse problems fitting of circles and ellipses, least squares solution the use of SVD for the study of multivariate noise and vibration problems on applications of SVD and SEVD for NURBS identification a tetradic decomposition of 4th-order tensors - application to the source separation problems the application of higher order singular value decomposition to independent conponent analysis bandpass filtering for the HTLS estimation algorithm - design, evaluation and SVD analysis structure preserving total least squares method and its application to parameter estimation parameter estimation and order determination in the low-rank linear statistical model. (Part Contents).