Numerical computation of an analytic singular value decomposition of a matrix valued function
From MaRDI portal
Publication:1183047
DOI10.1007/BF01385712zbMath0743.65035OpenAlexW1975277883MaRDI QIDQ1183047
Angelika Bunse-Gerstner, Nancy K. Nichols, Ralph Byers, Volker Mehrmann
Publication date: 28 June 1992
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133582
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Related Items (54)
Structural-algebraic regularization for coupled systems of DAEs ⋮ Canonical forms for linear differential-algebraic equations with variable coefficients ⋮ Local Parametrization of Subspaces on Matrix Manifolds via Derivative Information ⋮ On the sign characteristics of Hermitian matrix polynomials ⋮ Convergence analysis of an SVD-based algorithm for the best rank-1 tensor approximation ⋮ The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects ⋮ On dense subsets of matrices with distinct eigenvalues and distinct singular values ⋮ Continuation of invariant subspaces ⋮ The linear quadratic optimal control problem for linear descriptor systems with variable coefficients ⋮ Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations ⋮ On the rank-deficient canonical correlation technique solved by analytic spectral decomposition ⋮ Exponential polar factorization of the fundamental matrix of linear differential systems ⋮ Control of port-Hamiltonian differential-algebraic systems and applications ⋮ Numerical analytic continuation ⋮ Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality ⋮ Subspace method for the estimation of large-scale structured real stability radius ⋮ Deep Linear Networks for Matrix Completion—an Infinite Depth Limit ⋮ On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of \(\ast \)-palindromic matrix polynomials ⋮ Detecting near resonances in acoustic scattering ⋮ Hermitian matrices depending on three parameters: Coalescing eigenvalues ⋮ Iterative methods for low rank approximation of graph similarity matrices ⋮ Large-Scale Computation of $\mathcal{L}_\infty$-Norms by a Greedy Subspace Method ⋮ Spatially quasi-periodic bifurcations from periodic traveling water waves and a method for detecting bifurcations using signed singular values ⋮ Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values ⋮ Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. ⋮ Geometric multiscale decompositions of dynamic low-rank matrices ⋮ Stationary subspace analysis of nonstationary covariance processes: eigenstructure description and testing ⋮ Hermite Interpolation and Data Processing Errors on Riemannian Matrix Manifolds ⋮ A Projector Based Decoupling of DAEs Obtained from the Derivative Array ⋮ Ralph Byers 1955--2007 ⋮ Connecting the multivariate partial least squares with canonical analysis: a path-following approach ⋮ Coalescing Eigenvalues and Crossing Eigencurves of 1-Parameter Matrix Flows ⋮ Smooth factorizations of matrix valued functions and their derivatives ⋮ On the strong observability in linear time-varying singular systems ⋮ Large-Scale and Global Maximization of the Distance to Instability ⋮ Time-stepping and preserving orthonormality ⋮ Nonlinear Power-Like and SVD-Like Iterative Schemes with Applications to Entangled Bipartite Rank-1 Approximation ⋮ Differential equations for the analytic singular value decomposition of a matrix ⋮ On generalized inverses of singular matrix pencils ⋮ Locating a nearest matrix with an eigenvalue of prespecified algebraic multiplicity ⋮ Characterization and construction of the nearest defective matrix via coalescence of pseudospectral components ⋮ On linear quadratic optimal control of linear time-varying singular systems ⋮ Fixing multiple eigenvalues by a minimal perturbation ⋮ Time-varying matrix eigenanalyses via Zhang neural networks and look-ahead finite difference equations ⋮ The singular-value decomposition in the extended max algebra ⋮ Some remarks on the functional relation between canonical correlation analysis and partial least squares ⋮ Tensor neural network models for tensor singular value decompositions ⋮ A Modified Newton Method for Nonlinear Eigenvalue Problems ⋮ The construction of high order convergent look-ahead finite difference formulas for Zhang Neural Networks ⋮ Fixing two eigenvalues by a minimal perturbation ⋮ Nonlinear Power-Like and SVD-Like Iterative Schemes with Applications to Entangled Bipartite Rank-1 Approximation ⋮ Continuous Decompositions and Coalescing Eigenvalues for Matrices Depending on Parameters ⋮ Angular Values of Nonautonomous and Random Linear Dynamical Systems: Part I---Fundamentals ⋮ A Formula for the Fréchet Derivative of a Generalized Matrix Function
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of differential algebraic Riccati equations
- On condition numbers and the distance to the nearest ill-posed problem
- Control problem structure and the numerical solution of linear singular systems
- On the computation of multi-dimensional solution manifolds of parametrized equations
- Smooth factorizations of matrix valued functions and their derivatives
- Matrix eigensystem routines - EISPACK guide. 2nd ed
- Störungstheorie der Spektralzerlegung. I. Analytische Störung der isolierten Punkteigenwerte eines beschränkten Operators
- Accurate Singular Values of Bidiagonal Matrices
This page was built for publication: Numerical computation of an analytic singular value decomposition of a matrix valued function
