Exploiting the Laguerre iteration for solving the symmetric tridiagonal eigenproblem

zbMATH Open0990.65046MaRDI QIDQ2717661

José M. Badía Contelles, Antonio M. Vidal Maciá

Publication date: 2 April 2002

Published in: Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería (Search for Journal in Brave)

zbMATH Keywords

performancealgorithmscomparison of methodseigenvaluesroot-finding methodsbisection methodQR iterationsymmetric tridiagonal matricesdivide-and-conquer algorithmLaguerre iterationrank-one modifications

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Complexity and performance of numerical algorithms (65Y20)

Related Items (6)

Using the discriminant in a numerically stable symmetric 3 × 3 direct eigenvalue solver ⋮ Laguerre's iteration and the method of traces for eigenproblems ⋮ TRPL+K: Thick-Restart Preconditioned Lanczos+K Method for Large Symmetric Eigenvalue Problems ⋮ A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem ⋮ Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue Problems ⋮ <scp>TriCG</scp> and <scp>TriMR</scp>: Two Iterative Methods for Symmetric Quasi-definite Systems

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