Autor:	V. A. Zheligovsky, O. M. Podvigina
Rok vydání:	1997
Předmět:	Numerical Analysis Chebyshev polynomials Mathematical optimization Iterative method Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS General Engineering Chebyshev iteration System of linear equations Theoretical Computer Science Classical orthogonal polynomials Computational Mathematics Matrix (mathematics) Computational Theory and Mathematics TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Applied mathematics Chebyshev equation Software Eigenvalues and eigenvectors Mathematics
Zdroj:	Journal of Scientific Computing. 12:433-464
ISSN:	0885-7474
DOI:	10.1023/a:1025681013942
Popis:	An iterative method suitable for numerical solution of large systems of equations is presented. An extremal property of the Chebyshev polynomials is established, providing a logical foundation for the proposed procedure. A modification of the method is applicable for evaluation of the maximal eigenvalue of a matrix with real eigenvalues and of the associated eigenvector.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c8702c58633e3e7693593e94c7847526 https://doi.org/10.1023/a:1025681013942 Zobrazit plný text záznamu Full text from SpringerLink