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检索条件"主题词=QR algorithm"
103 条 记 录,以下是61-70 订阅
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Convergence of the tridiagonal qr algorithm
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LINEAR ALGEBRA AND ITS APPLICATIONS 2001年 第1-3期322卷 1-17页
作者: Wang, TL Natl Chengchi Univ Dept Math Sci Taipei 11623 Taiwan
By use of the three-term recurrence relation, an elementary and constructive proof is given for the global convergence of the symmetric tridiagonal qr algorithm with Wilkinson's shift. It is further illustrated wh... 详细信息
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Some recent advances in validated methods for IVPs for ODEs
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APPLIED NUMERICAL MATHEMATICS 2002年 第1-3期42卷 269-284页
作者: Jackson, KR Nedialkov, NS Univ Toronto Dept Comp Sci Toronto ON Canada McMaster Univ Dept Comp & Software Hamilton ON L8S 4L7 Canada
Compared to standard numerical methods for initial value problems (IVPs) for ordinary differential equations (ODEs), validated methods (often called interval methods) for IVPs for ODEs have two important advantages: i... 详细信息
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Some recent advances in validated methods for IVPs for ODEs
Some recent advances in validated methods for IVPs for ODEs
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9th Seminar on Numerical Solution of Differential and Differential - Algebraic Equations (NUMDIFF-9)
作者: Jackson, KR Nedialkov, NS Univ Toronto Dept Comp Sci Toronto ON Canada McMaster Univ Dept Comp & Software Hamilton ON L8S 4L7 Canada
Compared to standard numerical methods for initial value problems (IVPs) for ordinary differential equations (ODEs), validated methods (often called interval methods) for IVPs for ODEs have two important advantages: i... 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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A parameterized ordering for cache-, register- and pipeline-efficient Givens qr decomposition
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Advances in Computational Mathematics 1999年 第1期10卷 97-113页
作者: Carrig Jr., James J. Meyer, Gerard G. L. Sony Electronics Inc. Santa Clara CA 95054 United States Johns Hopkins University Baltimore MD 21218 United States
A parameterized ordering of Givens rotations and guidelines for choosing parameter values is presented in the context of qr decomposition. Although a standard selection of parameter values retrieves an ordering that c... 详细信息
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The BR eigenvalue algorithm
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1999年 第4期20卷 1083-1098页
作者: Geist, GA Howell, GW Watkins, DS Oak Ridge Natl Lab Math Sci Sect Oak Ridge TN 37831 USA Florida Inst Technol Dept Appl Math Melbourne FL 32901 USA Washington State Univ Dept Pure & Appl Math Pullman WA 99164 USA
The BR algorithm, a new method for calculating the eigenvalues of an upper Hessenberg matrix, is introduced. It is a bulge-chasing algorithm like the qr algorithm, but, unlike the qr algorithm, it is well adapted to c... 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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Using level 3 BLAS in rotation-based algorithms
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SIAM JOURNAL ON SCIENTIFIC COMPUTING 1998年 第2期19卷 626-634页
作者: Lang, B Berg Univ Wuppertal Fachbereich Math D-42097 Wuppertal Germany
This paper presents a technique that allows using level 3 BLAS in a number of rotation-based algorithms. In particular, the update of an orthogonal transformation matrix which often involves the vast majority of opera... 详细信息
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Parallelizing the qr algorithm for the unsymmetric algebraic eigenvalue problem: Myths and reality
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SIAM JOURNAL ON SCIENTIFIC COMPUTING 1996年 第4期17卷 870-883页
作者: Henry, G VandeGeijn, R UNIV TEXAS DEPT COMP SCIAUSTINTX 78712
Over the last few years, it has been suggested that the popular qr algorithm for the unsymmetric Schur decomposition does not parallelize. In this paper, we present both positive and negative results on this subject. ... 详细信息
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