scientific article; zbMATH DE number 7814803

DOI10.22124/jmm.2023.23734.2120MaRDI QIDQ6151388

Morad Ahmadnasab

Publication date: 11 March 2024

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

rounding error analysisQZ methodsymmetric definite generalized eigenvalue problemCholesky-QR methodSchur-QR method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Cites Work

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• Backward errors for eigenvalue and singular value decompositions
• Iterative refinement for symmetric eigenvalue decomposition
• Spectral refinement on quasi-diagonal matrices
• Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues
• Verification of positive definiteness
• Newton's Method in Floating Point Arithmetic and Iterative Refinement of Generalized Eigenvalue Problems
• Matrix Algorithms
• Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem
• Linearization of regular matrix polynomials
• Improving the Accuracy of Computed Eigenvalues and Eigenvectors
• Structured Backward Error and Condition of Generalized Eigenvalue Problems
• $Ax = \lambda Bx$ and the Generalized Eigenproblem
• An Efficient and Stable Algorithm for the Symmetric-Definite Generalized Eigenvalue Problem
• Templates for the Solution of Algebraic Eigenvalue Problems
• Tridiagonal-Diagonal Reduction of Symmetric Indefinite Pairs
• Accuracy and Stability of Numerical Algorithms
• An Algorithm for Generalized Matrix Eigenvalue Problems