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Lanczos Tridiagonalization and Core Problems
relationship between the Golub-Kahan bidiagonalization and the Lanczos tridiagonalization.
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Lanczos Tridiagonalization, Golub-Kahan Bidiagonalization and Core Problem
bidiagonalization and the Lanczos tridiagonalization. Here we briefly recall this approach...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method
We show constructively that, under certain regularity assumptions, any system of coupled linear differential equations with variable coefficients can be tridiagonalized by a time-dependent Lanczos-like method. The proof we present f...
Applied mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Lanczos-like method for non-autonomous linear ordinary differential equations
difficult to evaluate. The ASTERISK OPERATOR -Lanczos algorithm is a (symbolic) algorithm capable of evaluating it by producing a tridiagonalization of the original differential system. In this paper, we explain how the ASTERISK OP...
Applied mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Relating computed and exact entities in methods based on Lanczos tridiagonalization
Krylov subspace methods based on short recurrences such as CGL or MINRES represent an attractive way of solving large and sparse systems of linear algebraic equations. Loss of orthogonality in the underlying Lanczos process delays significan...
Applied mathematics
- 2018 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
On Orthogonal Reduction to Hessenberg Form with Small Bandwidth
matrix is tridiagonal. In this paper we study necessary and sufficient conditions...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
When does the Lanczos algorithm compute exactly?
In theory, the Lanczos algorithm generates an orthogonal basis and linear independence of the computed Lanczos vectors is usually lost quickly structure that guarantees exact computations of the Lanczos algorithm whenever f...
Applied mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On a sequence of tridiagonal matrices whose determinants are Fibonacci numbers Fn+1
In this paper, we generalize two previous individual results on connection special tridiagonal matrices to Fibonacci numbers, as we found a sequence of tridiagonal matrices which are equal to Fibonacci numbers....
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Some tridiagonal matrices and determinants of Schur-Cohn criterion for trinomials
Formulas for determinants of tridiagonal matrices are derived and used for Schur-Cohn criterion for trinomials.
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Lanczos-type procedure for tensors
. Such a framework is based on an extension of the non-Hermitian Lanczos algorithm to 4-mode...
Applied mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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