On Scaled Almost-Diagonal Hermitian Matrix Pairs

DOI10.1137/S0895479894278472zbMath0894.65015OpenAlexW2036569756MaRDI QIDQ4377484

Vjeran Hari, Zlatko Drmač

Publication date: 9 February 1998

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479894278472

zbMATH Keywords

Hermitian matricesquadratic convergenceeigenvalue locationalmost diagonal matricesscaled matricesHermitian-Jacobi methods

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Roundoff error (65G50) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (12)

Globally convergent Jacobi methods for positive definite matrix pairs ⋮ The rotation of eigenspaces of perturbed matrix pairs ⋮ Approximate eigenvectors as preconditioner ⋮ On the quadratic convergence of the complex HZ method for the positive definite generalized eigenvalue problem ⋮ Quadratic convergence estimate of scaled iterates by \(J\)-symmetric Jacobi method ⋮ On the Global Convergence of the Complex HZ Method ⋮ On the complex Falk-Langemeyer method ⋮ Relative eigenvalue and singular value perturbations of scaled diagonally dominant matrices ⋮ Quadratic convergence of a special quasi-cyclic Jacobi method ⋮ Spectral sensitivity of products of bidiagonals ⋮ Relative perturbation theory for a class of diagonalizable Hermitian matrix pairs ⋮ Convergence of scaled iterates by the Jacobi method

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