The block Lanczos algorithm and the calculation of matrix resolvents

DOI10.1016/0010-4655(89)90155-0zbMath0798.65029OpenAlexW2086600493MaRDI QIDQ1330636

C. M. M. Nex

Publication date: 30 October 1994

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(89)90155-0

zbMATH Keywords

orthogonal polynomialscontinued fractionsHermitian matrixLanczos algorithmresolvent matrixblock Lanczos iteration

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (1)

Dirac masses determination with orthogonal polynomials and \(\epsilon\)- algorithm. Application to totally monotonic sequences

Cites Work

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• The ordinary and matrix continued fractions in the theoretical analysis of Hermitian and relaxation operators
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Padé approximation of matrix-valued series of Stieltjes
• Discrete and continuous boundary problems
• Analytic expressions for asymptotic forms of continued-fraction coefficients in the presence of a spectral gap
• Estimation of integrals with respect to a density of states
• Calculation of Gauss Quadrature Rules

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