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224 532 (0,333s) •

Result

Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES

We show that arbitrary convergence behavior of Ritz values is possible in the Arnoldi method, and we give two parametrizations of the class of matrices with initial Arnoldi vectors that generate prescribed Ritz values (in a...

BA - Obecná matematika

  • 2012
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  • Jx
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  • Link
Result

Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices

This paper derives a priori residual-type bounds for the Arnoldi approximation of a matrix function together with a strategy for setting the iteration accuracies in the inexact Arnoldi approximation of matrix functions. Such results...

Applied mathematics

  • 2019
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  • JSC
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  • Link
Result

Rafflesia arnoldi, a story about Sir Raffles and Napoleon

An article is aimed to botanical description of the Rafflesia arnoldi,biggest parasitic plant at the world, growing merely in Sumatra, Bukit Tinggi area. Its botanical classification is not clearly solved until nowadays. Its appearance is co...

GA - Zemědělská ekonomie

  • 2008
    • •
  • Jx
Result

Prescribing the behavior of early terminating GMRES and Arnoldi iterations

sides with these properties. These results assumed that the underlying Arnoldi...

BA - Obecná matematika

  • 2014
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  • Jx
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  • Link
Result

Admissible and Attainable Convergence Behavior of Block Arnoldi and GMRES

. Moreover, we show that the convergence of the block Arnoldi method for eigenvalue matrices, we develop convergence results for block Arnoldi and block GMRES......

Applied mathematics

  • 2020
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  • Jimp
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  • Link
Result

On Orthogonal Reduction to Hessenberg Form with Small Bandwidth

Numerous algorithms in numerical linear algebra are based on the reduction of a given matrix A to a more convenient form. One of the most useful types of such reduction is the orthogonal reduction to (upper) Hessenberg form. This reduction can be com...

BA - Obecná matematika

  • 2009
    • •
  • Jx
Result

On the Forsythe conjecture

Forsythe formulated a conjecture about the asymptotic behavior of the restarted conjugate gradient method in 1968. We translate several of his results into modern terms, and pose an analogous version of the conjecture (originally formulated ...

Applied mathematics

  • 2023
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  • Jimp
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  • Link
Result

Analysis of methods for matrix computations: Basic methods

This monograph is an introduction to the basic methods used in matrix computations. It grows up from the linear algebra basics (chapter 1), and touches of eigenvalues using Lanczos and Arnoldi algorithms (chap. 7), metod of conjugat...

BA - Obecná matematika

  • 2012
    • •
  • B
Result

Arnoldi, Bassi, Bondini

collection of lexicon articles...

AL - Umění, architektura, kulturní dědictví

  • 2003
    • •
  • Jx
Result

On Best Approximations of Polynomials in Matrices in the Matrix 2-Norm

We show that certain matrix approximation problems in the matrix 2-norm have uniquely defined solutions, despite the lack of strict convexity of the matrix 2-norm. The problems we consider are generalizations of the ideal Arnoldi and ideal G...

BA - Obecná matematika

  • 2009
    • •
  • Jx
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