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检索条件"主题词=Lanczos algorithm"
194 条 记 录,以下是151-160 订阅
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A comparison of solvers for large eigenvalue problems occuring in the design of resonant cavities
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NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 1999年 第1期6卷 3-16页
作者: Arbenz, P Geus, R Swiss Fed Inst Technol Inst Comp Sci CH-8092 Zurich Switzerland
We present experiments with various solvers for large sparse generalized symmetric matrix eigenvalue problems. These problems occur in the computation of a few of the lowest frequencies of standing electromagnetic wav... 详细信息
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Using nonorthogonal lanczos vectors in the computation of matrix functions
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SIAM JOURNAL ON SCIENTIFIC COMPUTING 1998年 第1期19卷 38-54页
作者: Druskin, V Greenbaum, A Knizhnerman, L Schlumberger Doll Res Ctr Ridgefield CT 06877 USA NYU Courant Inst Math Sci New York NY 10012 USA Cent Geophys Expedit Moscow 123298 Russia
The lanczos algorithm uses a three-term recurrence to construct an orthonormal basis for the Krylov space corresponding to a symmetric matrix A and a nonzero starting vector phi. The vectors and recurrence coefficient... 详细信息
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Transpose-free formulations of lanczos-type methods for nonsymmetric linear systems
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NUMERICAL algorithmS 1998年 第1-2期17卷 51-66页
作者: Chan, TF de Pillis, L van der Vorst, H Univ Calif Los Angeles Dept Math Los Angeles CA 90095 USA Harvey Mudd Coll Dept Math Claremont CA 91711 USA Univ Utrecht Inst Math NL-3508 TA Utrecht Netherlands
We present a transpose-free version of the nonsymmetric scaled lanczos procedure. It generates the same tridiagonal matrix as the classical algorithm, using two matrix-vector products per iteration without accessing A... 详细信息
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A fast method to diagonalize a Hankel matrix
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LINEAR ALGEBRA AND ITS APPLICATIONS 1998年 第1-3期284卷 41-52页
作者: Boley, DL Luk, FT Vandevoorde, D Univ Minnesota Dept Comp Sci Minneapolis MN 55455 USA Rensselaer Polytech Inst Troy NY 12180 USA
We consider a Vandermonde factorization of a Hankel matrix, and propose a new approach to compute the full decomposition in O(n(2)) operations. The method is based on the use of a variant of the lanczos method to comp... 详细信息
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Direct calculation of long time correlation functions using an optical potential
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INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY 1998年 第5期68卷 317-328页
作者: Alacid, M Leforestier, C Univ Montpellier 2 UMR 5636 Lab Struct & Dynam Syst Mol & Solides F-34095 Montpellier 05 France
We present an L-2 method aimed at directly computing autocorrelation functions [Phi(0)/Phi(f)] for systems displaying long time recurrences. By making use of a lanczos scheme, as previously proposed by Wyatt [Chem. Ph... 详细信息
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On Behaviors, Rational Interpolation, and the lanczos algorithm
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IFAC Proceedings Volumes 1996年 第1期29卷 3957-3962页
作者: A.C. Antoulas E.J. Grimme D.C. Sorensen Department of Electrical and Computer Engineering Rice University Houston TX 77251-1892 USA Coordinated Science Laboratory University of Illinois at Urbana-Champaign Urbana IL 61801-2307 USA Department of Computational and Applied Mathematics Rice University Houston TX 77251-1892 USA
This paper explores the interconnections between two methods which can be used to obtain rational interpolants. The first method, the behavioral approach, constructs a generating system in the frequency domain which e... 详细信息
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Analysis of projection methods for solving linear systems with multiple right-hand sides
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SIAM JOURNAL ON SCIENTIFIC COMPUTING 1997年 第6期18卷 1698-1721页
作者: Chan, TF Wan, WL Department of Mathematics Univ. of California at Los Angeles Los Angeles CA 90024 United States
We analyze a class of Krylov projection methods but mainly concentrate on a specific conjugate gradient (CG) implementation by Smith, Peterson, and Mittra [IEEE transactions on Antennas and Propogation, 37 (1989), pp.... 详细信息
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Generalized cross-validation for large-scale problems
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JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS 1997年 第1期6卷 1-34页
作者: Golub, GH vonMatt, U ETH ZENTRUM SWISS CTR SCI COMPCH-8092 ZURICHSWITZERLAND
Although generalized cross-validation is a popular tool for calculating a regularization parameter, it has been rarely applied to large-scale problems until recently. A major difficulty lies in the evaluation of the c... 详细信息
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THE PARALLEL COMPUTATION OF PARTIAL EIGENSOLUTIONS USING A MODIFIED lanczos METHOD
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Parallel algorithms and Applications 1997年 第3-4期11卷 299-323页
作者: K. Murphy[a] M. Clint[a] M. Szularz[b] J. Weston[b] [a] Department of Computer Science The Queen's University of Belfast Belfast U.K [b] School of Information and Software Engineering The University of Ulster at Coleraine Coleraine U.K
The lanczos algorithm is one of the most widely used methods for finding a small number of the extremal eigenvalues and associated eigenvectors of large, sparse, symmetric matrices. In this paper the performance on tw... 详细信息
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Reduced-order modeling of large passive linear circuits by means of the SYPVL algorithm  96
Reduced-order modeling of large passive linear circuits by m...
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Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
作者: R. W. Freund P. Feldmann Bell Laboratories Lucent Technologies Murray Hill NJ
Lucent TechnologiesThis paper discusses the analysis of large linear electrical networks consisting of passive components, such as resistors, capacitors, inductors, and transformers. Such networks admit a symmetric fo... 详细信息
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