An accelerated bisection method for the calculation of eigenvalues of a symmetric tridiagonal matrix

DOI10.1007/BF01389644zbMath0512.65028MaRDI QIDQ1050085

Herbert J. Bernstein

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132894

zbMATH Keywords

Sturm sequencequadratic convergencesymmetric tridiagonal matrixaccelerated bisection

Mathematics Subject Classification ID

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

Related Items (max. 100)

An algorithm for estimating non-convex volumes and other integrals in \(n\) dimensions ⋮ PARALLEL ALGORITHMS TO COMPUTE THE EIGENVALUES AND EIGENVECTORS OFSYMMETRIC TOEPLITZ MATRICES∗ ⋮ Parallel implementation of bisection for the calculation of eigenvalues of tridiagonal symmetric matrices

Uses Software

• BRENT

Cites Work

• A modified bisection algorithm for the determination of the eigenvalues of a symmetric tridiagonal matrix
• Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection
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