Accurate Computation of Generalized Eigenvalues of Regular SR-BP Pairs
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Publication:5021022
DOI10.1137/21M1392152zbMath1480.65081OpenAlexW4206820322MaRDI QIDQ5021022
Publication date: 11 January 2022
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1392152
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Roundoff error (65G50) Matrix pencils (15A22) Toeplitz, Cauchy, and related matrices (15B05)
Uses Software
Cites Work
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- Accurate bidiagonal decomposition of totally positive Cauchy-Vandermonde matrices and applications
- A fast and accurate algorithm for solving Bernstein-Vandermonde linear systems
- Accurate solutions of product linear systems associated with rank-structured matrices
- A periodic qd-type reduction for computing eigenvalues of structured matrix products to high relative accuracy
- Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices
- A canonical parametrization of the Kronecker form of a matrix pencil
- Computing the singular value decomposition with high relative accuracy
- Accurate eigenvalues of some generalized sign regular matrices via relatively robust representations
- Accurate solutions of weighted least squares problems associated with rank-structured matrices
- Accurate computation of the smallest eigenvalue of a diagonally dominant $M$-matrix
- Implicit QR for companion-like pencils
- Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions
- Accurate solution of structured linear systems via rank-revealing decompositions
- Computing singular values of diagonally dominant matrices to high relative accuracy
- Gerschgorin’s theorem for generalized eigenvalue problems in the Euclidean metric
- Perturbation of Partitioned Hermitian Definite Generalized Eigenvalue Problems
- Solving the Generalized Eigenvalue Problem for Rational Toeplitz Matrices
- Accurate Computations with Totally Nonnegative Matrices
- Accurate and efficient expression evaluation and linear algebra
- A Tangent Algorithm for Computing the Generalized Singular Value Decomposition
- Jacobi--Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils
- An Efficient and Stable Algorithm for the Symmetric-Definite Generalized Eigenvalue Problem
- Templates for the Solution of Algebraic Eigenvalue Problems
- A Householder-Based Algorithm for Hessenberg-Triangular Reduction
- On perturbations of matrix pencils with real spectra, a revisit
- Accurate Singular Value Decompositions of Structured Matrices
- A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem
- A Rational QZ Method
- A qd-type method for computing generalized singular values of BF matrix pairs with sign regularity to high relative accuracy
- On Accurate Computations of the Perron Root
- On a Generalized Eigenvalue Problem for Nonsquare Pencils
- Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices
- The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
- Shape from Moments—An Estimation Theory Perspective
- Accurate Symmetric Rank Revealing and Eigendecompositions of Symmetric Structured Matrices
- Arnoldi and Jacobi-Davidson methods for generalized eigenvalue problems $Ax=\lambda Bx$ with singular $B$
- Multishift Variants of the QZ Algorithm with Aggressive Early Deflation
- An Algorithm for Generalized Matrix Eigenvalue Problems
- New Developments in Molecular Orbital Theory
- A Domain Decomposition Rayleigh--Ritz Algorithm for Symmetric Generalized Eigenvalue Problems
- Totally positive matrices
- Polynomial least squares fitting in the Bernstein basis