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Error bounds in the simple Lanczos procedure for computing functions of symmetric matrices and eigenvalues

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Publication:1317553
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zbMath0786.65031MaRDI QIDQ1317553

L. A. Khizhnerman, V. L. Druskin

Publication date: 17 March 1994

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

convergenceeigenvalueerror estimatesLanczos methodround-off error analysissymmetric matrix functions


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (6)

On application of the Lanczos method to solution of some partial differential equations ⋮ A study of defect-based error estimates for the Krylov approximation of \(\varphi\)-functions ⋮ Krylov-Aware Stochastic Trace Estimation ⋮ Stability of the Lanczos algorithm on matrices with regular spectral distributions ⋮ Computable upper error bounds for Krylov approximations to matrix exponentials and associated \(\varphi\)-functions ⋮ Error Bounds for Lanczos-Based Matrix Function Approximation




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