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Rounding Error Analysis of the Classical Gram-Schmidt Orthogonalization Process
of orthogonality of the vectors computed by the classical Gram-Schmidt algorithm dependsThis paper provides two results on the numerical behavior of the classical Gram-Schmidt algorithm. The firs...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the Loss of Orthogonality in the Gram-Schmidt Orthogonalization Process
In this paper we study numerical behavior of several computational variants of the Gram-Schmidt orthogonalization process. We focus on the orthogonality of computed vectors which may be significantly lost in the classic...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Numerical stability of orthogonalization methods with a non-standard inner product
and classical Gram?Schmidt algorithms, Gram?Schmidt process with reorthogonalization as well...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Gram matrices and determinants
In the first part of this article, some basic properties of Gram matrices and determinants are described in connections to the Gram-Schmidt ortogonalization process, QR-decomposition, solving overdetermined systems...
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
The stability of block variants of classical Gram-Schmidt
The block version of the classical Gram--Schmidt (tt BCGS) method is often employed to efficiently compute orthogonal bases for Krylov subspace methods and eigenvalue solvers, but a rigorous proof of its stability behavior ...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Gram-Schmidt Orthogonalization of Equine ECG Signals
The method to transform equine ECG signals of standard 12 lead system to its othogonal representation. The coefficient of the developed linear transform are based on Gram-Schmidt orthogonalization process. The algorithm was...
FS - Lékařská zařízení, přístroje a vybavení
- 2000 •
- D
Rok uplatnění
D - Stať ve sborníku
Comparison of properities of two Gram-Schmidt algorithm modifications used for equine ECG orthogonalization.
a...
FS - Lékařská zařízení, přístroje a vybavení
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
Block Gram-Schmidt algorithms and their stability properties
Block Gram-Schmidt algorithms serve as essential kernels in many scientific computing applications, but for many commonly used variants, a rigorous treatment of block Gram-Schmidt algorithms, particularly those use...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Ordered Modified Gram-Schmidt Orthogonalization Revised.
Annotation not available...
BD - Teorie informace
- 1995 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Orthogonal Lead System for Equine Electrocardiography Determined by Optimized Orthogonalization Process
Paper describes new algorithm to transform signals of standard equine ECG signals to orthogonal representation. The method is based on a generalized Gram-Schmidt ortohogalization process....
GJ - Choroby a škůdci zvířat, veterinární medicina
- 2000 •
- D
Rok uplatnění
D - Stať ve sborníku
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