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检索条件"主题词=Lanczos Algorithm"
194 条 记 录,以下是1-10 订阅
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lanczos algorithm and Conjugate Gradient
Lanczos Algorithm and Conjugate Gradient
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作者: Li, Hongdali University of Washington
学位级别:Master's, Master's Degree
We review results from the literature on the conjugate gradient algorithm for solving symmetric positive definite linear systems and the related lanczos algorithm. We derive the conjugate gradient algorithm from the m... 详细信息
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WHEN DOES THE lanczos algorithm COMPUTE EXACTLY?
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ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 2022年 55卷 547-567页
作者: SIMONOVA, D. O. R. O. T. A. TICHY, P. E. T. R. Charles Univ Prague Fac Math & Phys Prague Czech Republic
In theory, the lanczos algorithm generates an orthogonal basis of the corresponding Krylov subspace. However, in finite precision arithmetic the orthogonality and linear independence of the computed lanczos vectors is... 详细信息
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A modified lanczos algorithm for fast regularization of extreme learning machines
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NEUROCOMPUTING 2020年 414卷 172-181页
作者: Hu, Renjie Ratner, Edward Stewart, David Bjork, Kaj-Mikael Lendasse, Amaury Univ Houston ILT Dept Houston TX 77004 USA Univ Iowa Dept Math Iowa City IA 52242 USA Arcada Univ Appl Sci Helsinki Finland Hanken Sch Econ Helsinki Finland
This paper presents a new regularization for Extreme Learning Machines (ELMs). ELMs are Randomized Neural Networks (RNNs) that are known for their fast training speed and good accuracy. Nevertheless the complexity of ... 详细信息
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THE lanczos algorithm UNDER FEW ITERATIONS: CONCENTRATION AND LOCATION OF THE OUTPUT
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 2020年 第3期41卷 1312-1346页
作者: Garza-Vargas, Jorge Kulkarni, Archit Univ Calif Berkeley Dept Math Berkeley CA 94720 USA
We study the lanczos algorithm where the initial vector is sampled uniformly from Sn-1. Let A be an n x n Hermitian matrix. We show that when run for few iterations, the output of lanczos on A is almost deterministic.... 详细信息
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Extension of the lanczos algorithm for simultaneous computation of multiple targeted singular vector sets
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QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY 2020年 第726期146卷 454-467页
作者: Ono, Kosuke Japan Meteorol Agcy Numer Predict Div Tokyo Japan Japan Meteorol Agcy Meteorol Res Inst Tsukuba Ibaraki Japan
This article discusses an extension of the singular vector (SV) method in the context of an initial perturbation generator for an ensemble prediction system (EPS). In general, multiple SVs targeted at different region... 详细信息
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lanczos-LIKE algorithm FOR THE TIME-ORDERED EXPONENTIAL: THE *-INVERSE PROBLEM
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APPLICATIONS OF MATHEMATICS 2020年 第6期65卷 807-827页
作者: Giscard, Pierre-Louis Pozza, Stefano Univ Littoral Cote dOpale Lab Math Pures & Appl Joseph Liouville UR 2597 LMPA F-62100 Calais France Charles Univ Prague Fac Math & Phys Sokolovska 83 Prague 18675 8 Czech Republic
The time-ordered exponential of a time-dependent matrix A(t) is defined as the function of A(t) that solves the first-order system of coupled linear differential equations with non-constant coefficients encoded in A(t... 详细信息
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THE lanczos algorithm AND COMPLEX GAUSS QUADRATURE
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ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 2018年 50卷 1-19页
作者: Pozza, Stefano Pranic, Miroslav S. Strakos, Zdenek Charles Univ Prague Fac Math & Phys Sokolovska 83 Prague 18675 8 Czech Republic CNR Ist Sci & Tecnol Informaz Via Giuseppe Moruzzi 1 Pisa Italy Univ Banja Luka Dept Math & Informat Fac Sci M Stojanovica 2 Banja Luka 51000 Bosnia & Herceg
Gauss quadrature can be naturally generalized in order to approximate quasi-definite linear functionals, where the interconnections with (formal) orthogonal polynomials, (complex) Jacobi matrices, and the lanczos algo... 详细信息
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Adaptation of the lanczos algorithm for the Solution of Buckling Eigenvalue Problems
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LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES 2018年 第1期15卷
作者: de Faria, Alfredo R. Inst Tecnol Aeronaut Dept Mech Engn Sao Jose Dos Campos SP Brazil
An adaptation of the conventional lanczos algorithm is proposed to solve the general symmetric eigenvalue problem K phi = lambda K-G phi in the case when the geometric stiffness matrix K-G is not necessarily positive-... 详细信息
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Dynamic relaxation method based on lanczos algorithm
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2017年 第10期112卷 1473-1492页
作者: Namadchi, Amir Hossein Alamatian, Javad Eqbal Lahoori Inst Higher Educ Civil Engn Dept Mashhad Iran Islamic Azad Univ Mashhad Branch Civil Engn Dept Mashhad Iran
This paper tries to accelerate the convergence rate of the general viscous dynamic relaxation method. For this purpose, a new automated procedure for estimating the critical damping factor is developed by employing a ... 详细信息
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A THICK-RESTART lanczos algorithm WITH POLYNOMIAL FILTERING FOR HERMITIAN EIGENVALUE PROBLEMS
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SIAM JOURNAL ON SCIENTIFIC COMPUTING 2016年 第4期38卷 A2512-A2534页
作者: Li, Ruipeng Xi, Yuanzhe Vecharynski, Eugene Yang, Chao Saad, Yousef Lawrence Livermore Natl Lab Ctr Appl Sci Comp Livermore CA 94551 USA Univ Minnesota Twin Cities Dept Comp Sci & Engn Minneapolis MN 55455 USA Lawrence Berkeley Natl Lab Computat Res Div Berkeley CA 94720 USA
Polynomial filtering can provide a highly effective means of computing all eigenvalues of a real symmetric (or complex Hermitian) matrix that are located in a given interval, anywhere in the spectrum. This paper descr... 详细信息
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