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检索条件"主题词=QR algorithm"
103 条 记 录,以下是31-40 订阅
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Restructuring the Tridiagonal and Bidiagonal qr algorithms for Performance
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ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 2014年 第3期40卷 18-18页
作者: van Zee, Field G. van de Geijn, Robert A. Quintana-Orti, Gregorio Univ Texas Austin Inst Computat Engn & Sci Dept Comp Sci Austin TX 78712 USA Univ Jaume 1 Dept Ingn & Ciencia Comp Castellon de La Plana 12071 Spain
We show how both the tridiagonal and bidiagonal qr algorithms can be restructured so that they become rich in operations that can achieve near-peak performance on a modern processor. The key is a novel, cache-friendly... 详细信息
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qr-like algorithms for eigenvalue problems
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2000年 第1-2期123卷 67-83页
作者: Watkins, DS Washington State Univ Dept Math Pullman WA 99164 USA
In the year 2000 the dominant method for solving matrix eigenvalue problems is still the qr algorithm. This paper discusses the family of GR algorithms, with emphasis on the qr algorithm. Included are historical remar... 详细信息
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Comparison of BR and qr eigenvalue algorithms system small signal stability analysis
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IEEE TRANSACTIONS ON POWER SYSTEMS 2006年 第4期21卷 1848-1855页
作者: Ma, Jian Dong, Zhao Yang Zhang, Pei Univ Queensland Sch Informat Technol & Elect Engn Brisbane Qld 4072 Australia EPRI Palo Alto CA 94304 USA
The BR algorithm is a novel and efficient method to find all eigenvalues of upper Hessenberg matrices and has never been applied to eigenanalysis for power system small signal stability. This paper analyzes difference... 详细信息
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Reachable matrices by a qr step with shift
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SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 2006年 第1期5卷 91-107页
作者: Chu, DL Chu, M Natl Univ Singapore Dept Math Singapore 117543 Singapore N Carolina State Univ Dept Math Raleigh NC 27695 USA
One of the most interesting dynamical systems used in numerical analysis is the qr algorithm. An added maneuver to improve the convergence behavior is the qr iteration with shift which is of fundamental importance in ... 详细信息
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A quadratically convergent qr-like method without shifts for the Hermitian eigenvalue problem
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LINEAR ALGEBRA AND ITS APPLICATIONS 2006年 第2-3期417卷 478-495页
作者: Zha, Hongyuan Zhang, Zhenyue Ying, Wenlong Zhejiang Univ Dept Math Hangzhou 310027 Peoples R China Penn State Univ Dept Comp Sci & Engn University Pk PA 16802 USA
We propose a new qr-like algorithm, symmetric squared qr (SSqr) method, that can be readily parallelized using commonly available parallel computational primitives such as matrix-matrix multiplication and qr decomposi... 详细信息
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The relation between the qr and LR algorithms
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1998年 第2期19卷 551-555页
作者: Xu, HG Fudan Univ Dept Math Shanghai 200433 Peoples R China
For an Hermitian matrix the qr transform is diagonally similar to two steps of the LR transforms. Even for non-Hermitian matrices the qr transform may be written in rational form.
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Bulge exchanges in algorithms of qr type
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1998年 第4期19卷 1074-1096页
作者: Watkins, DS Washington State Univ Dept Pure & Appl Math Pullman WA 99164 USA
The qr algorithm and its variants are among the most popular methods for calculating eigenvalues of matrices. Typical implementations chase bulges from top to bottom of an upper Hessenberg matrix. It is also possible ... 详细信息
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Full Symmetric Toda System: Solution via qr-Decomposition
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FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 2023年 第4期57卷 346-363页
作者: Talalaev, D. V. Chernyakov, Yu. B. Sharygin, G. I. Kurchatov Inst Natl Res Ctr Moscow Russia Lomonosov Moscow State Univ Moscow Russia PG Demidov Yaroslavl State Univ Yaroslavl Russia Natl Res Univ Moscow Inst Phys & Technol Moscow 141701 Russia Russian Acad Sci Inst Informat Transmiss Problems Kharkevich Inst Moscow Russia
The full symmetric Toda system is a generalization of the open Toda chain, for which the Lax operator is a symmetric matrix of general form. This system is Liouville integrable and even superintegrable. Deift, Lee, Na... 详细信息
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qr methods and error analysis for computing Lyapunov and Sacker-Sell spectral intervals for linear differential-algebraic equations
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ADVANCES IN COMPUTATIONAL MATHEMATICS 2011年 第2-4期35卷 281-322页
作者: Vu Hoang Linh Mehrmann, Volker Van Vleck, Erik S. Tech Univ Berlin Inst Math D-10623 Berlin Germany Vietnam Natl Univ Fac Math Mech & Informat Hanoi Vietnam Univ Kansas Dept Math Lawrence KS 66045 USA
In this paper, we propose and investigate numerical methods based on qr factorization for computing all or some Lyapunov or Sacker-Sell spectral intervals for linear differential-algebraic equations. Furthermore, a pe... 详细信息
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DEFERRED SHIFTING SCHEMES FOR PARALLEL qr METHODS
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1993年 第1期14卷 180-194页
作者: VANDEGEIJN, RA
Parallel implementation of the qr algorithm for solving the symmetric eigenvalue problem requires more than a straightforward transcription of sequential code to parallel code. Experimental adjustments include new shi... 详细信息
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