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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 •
- JSC •
- Link
Rok uplatnění
JSC - Článek v periodiku v databázi SCOPUS
Výsledek na webu
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 c...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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 all iterat...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the Forsythe conjecture
and its transpose, which is based on the projection process used in the Arnoldi (or for symmetric matrices the Lanczos) algorithm. We prove several new results about......
Applied mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Analysis of methods for matrix computations: Basic methods
of eigenvalues using Lanczos and Arnoldi algorithms (chap. 7), metod of conjugate gradients...
BA - Obecná matematika
- 2012 •
- B
Rok uplatnění
B - Odborná kniha
Arnoldi, Bassi, Bondini
collection of lexicon articles...
AL - Umění, architektura, kulturní dědictví
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
When does the Lanczos algorithm compute exactly?
matrix. The results are extended to the Arnoldi algorithm, the nonsymmetric Lanczos algorithm, the Golub-Kahan bidiagonalization, the block-Lanczos algorithmIn theory, the Lanczos algorithm generates an o...
Applied mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Friedrich Wilhelm Arnoldi
Friedrich Wilhelm Arnoldi (1767 - 1838), actor, singer, program director, ducal "Maitre des Plaisirs", exhibited the acting, singin and dancing talents since the beginning of his career. He featured in singspiels and plays, while his engaged...
AL - Umění, architektura, kulturní dědictví
- 2013 •
- C
Rok uplatnění
C - Kapitola v odborné knize
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