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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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The qr algorithm revisited
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SIAM REVIEW 2008年 第1期50卷 133-145页
作者: Watkins, David S. Washington State Univ Dept Math Pullman WA 99164 USA
The qr algorithm is still one of the most important methods for computing eigenvalues and eigenvectors of matrices. Most discussions of the qr algorithm begin with a very basic version and move by steps toward the ver... 详细信息
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Reduced Complexity Maximum-Likelihood Detection for MIMO-OFDM Systems
Reduced Complexity Maximum-Likelihood Detection for MIMO-OFD...
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8th International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM)
作者: You, Weizhi Yi, Lilin Hu, Weisheng Shanghai Jiao Tong Univ Dept Elect Engn State Key Lab Adv Opt Commun Syst & Networks Shanghai 200240 Peoples R China
A reduced complexity Maximum-Likelihood (ML) detection algorithm is proposed for the multiple-input multiple-output orthogonal frequency division multiple (MIMO-OFDM) systems. The proposed detection algorithm combines... 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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From qd to LR, or, how were the qd and LR algorithms discovered?
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IMA JOURNAL OF NUMERICAL ANALYSIS 2011年 第3期31卷 741-754页
作者: Gutknecht, Martin H. Parlett, Beresford N. ETH Seminar Appl Math CH-8092 Zurich Switzerland Univ Calif Berkeley Dept Math Berkeley CA 94720 USA
Perhaps, the most astonishing idea in eigenvalue computation is Rutishauser's idea of applying the LR transform to a matrix for generating a sequence of similar matrices that become more and more triangular. The s... 详细信息
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Continuous spectra and numerical eigenvalues
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MATHEMATICAL AND COMPUTER MODELLING 2011年 第11-12期54卷 2616-2622页
作者: Guba, Oksana Lorenz, Jens Sandia Natl Labs Albuquerque NM 87185 USA Univ New Mexico Dept Math & Stat Albuquerque NM 87131 USA
Some spectral problems for differential operators are naturally posed on the whole real line, often leading to eigenvalues plus continuous spectrum. Then the numerical approximation typically involves three processes:... 详细信息
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On iterative qr pre-processing in the parallel block-Jacobi SVD algorithm
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PARALLEL COMPUTING 2010年 第5-6期36卷 297-307页
作者: Becka, Martin Oksa, Gabriel Vajtersic, Marian Grigori, Laura Slovak Acad Sci Inst Math Dept Informat Bratislava Slovakia Salzburg Univ Dept Comp Sci A-5020 Salzburg Austria Univ Paris 11 INRIA Orsay France
An efficient version of the parallel two-sided block-Jacobi algorithm for the singular value decomposition of an m x n matrix A includes the pre-processing step, which consists of the qr factorization of A with column... 详细信息
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The periodic qr algorithm is a disguised qr algorithm
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LINEAR ALGEBRA AND ITS APPLICATIONS 2006年 第2-3期417卷 423-433页
作者: Kressner, Daniel Tech Univ Berlin Inst Math MA 4 5 D-10623 Berlin Germany
The periodic qr algorithm is a strongly backward stable method for computing the eigenvalues of products of matrices, or equivalently for computing the eigenvalues of block cyclic matrices. The main purpose of this pa... 详细信息
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Shifting algorithms with Maple and implicit shift in the qr algorithm
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APPLIED MATHEMATICS AND COMPUTATION 2005年 第3期161卷 947-962页
作者: Najafi, HS Shams, M Guilan Univ Fac Sci Dept Math Rasht Iran Guilan Univ Ctr Comp Rasht Iran
We have written out all shifting algorithm in the qr corresponding to article [SIAM J. Matrix Anal. 12 (1991) 385], specially the block shift algorithm, and tested them with Maple8. A comparison table has been designe... 详细信息
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Performance and accuracy of LAPACK's symmetric tridiagonal eigensolvers
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SIAM JOURNAL ON SCIENTIFIC COMPUTING 2008年 第3期30卷 1508-1526页
作者: Demmel, James W. Marques, Osni A. Parlett, Beresford N. Voemel, Christof Univ Calif Berkeley Dept Math Berkeley CA 94720 USA Univ Calif Berkeley Div Comp Sci Berkeley CA 94720 USA Univ Calif Berkeley Computat Res Div Berkeley CA 94720 USA
We compare four algorithms from the latest LAPACK 3.1 release for computing eigenpairs of a symmetric tridiagonal matrix. These include qr iteration, bisection and inverse iteration (BI), the divide-and-conquer method... 详细信息
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Spectral Rayleigh-Schrodinger series revisited
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NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 2008年 第7-8期29卷 735-749页
作者: Ahues, Mario Largillier, Alain LaMUSE F-42100 St Etienne France
Rayleigh-Schrodinger series for perturbation bounds of spectral elements is revisited. The convergence radius is estimated for bases of spectral subspaces. Applications to both Hessenberg and Hermitian matrices are de... 详细信息
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