On convergence to eigenvalues and eigenvectors in the block-Jacobi EVD algorithm with dynamic ordering

DOI10.1016/j.laa.2021.03.027zbMath1470.65063OpenAlexW3137054110MaRDI QIDQ2029865

Yusaku Yamamoto, Gabriel Okša, Marián Vajteršic

Publication date: 4 June 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2021.03.027

zbMATH Keywords

Hermitian matrixdynamic orderingtwo-sided block-Jacobi methodconvergence to eigenvalues and eigenvectors

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (2)

Convergence to Singular Triplets in the Two-Sided Block-Jacobi SVD Algorithm with Dynamic Ordering ⋮ Revisiting the (block) Jacobi subspace rotation method for the symmetric eigenvalue problem

Cites Work

• Convergence of approximate eigenvectors in Jacobi methods
• Zur Konvergenz des Jacobi-Verfahrens
• On sharp quadratic convergence bounds for the serial Jacobi methods
• Asymptotic quadratic convergence of the parallel block-Jacobi EVD algorithm with dynamic ordering for Hermitian matrices
• Asymptotic quadratic convergence of the serial block-Jacobi EVD algorithm for Hermitian matrices
• Zur quadratischen Konvergenz des Jacobi-Verfahrens.(On quadrative convergence of the Jacobi method)
• The variation of the spectrum of a normal matrix
• Convergence analysis of the parallel classical block Jacobi method for the symmetric eigenvalue problem
• Performance of the parallel block Jacobi method with dynamic ordering for the symmetric eigenvalue problem
• A Global Convergence Proof for Cyclic Jacobi Methods with Block Rotations
• The Rotation of Eigenvectors by a Perturbation. III
• Dynamic ordering for a parallel block-Jacobi SVD algorithm

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