Maximizing Functions of Rotations—Experiments Concerning Speed of Diagonalization of Symmetric Matrices Using Jacobi's Method-Reference-Cited by-同舟云学术

Maximizing Functions of Rotations—Experiments Concerning Speed of Diagonalization of Symmetric Matrices Using Jacobi's Method

Published:1957-10 Issue:4 Volume:4 Page:459-466
ISSN:0004-5411
Container-title:Journal of the ACM
language:en
Short-container-title:J. ACM

Author:

Pope David A.¹,Tompkins C.¹

Affiliation:

1. University of California, Los Angeles, Calif.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference9 articles.

1. R. T. GREGORY Computing Eigenvalues and Eigenvectors of a Symmetric Matrix on the ILLIAC M.T.A.C. 7 215-220 (1953). R. T. GREGORY Computing Eigenvalues and Eigenvectors of a Symmetric Matrix on the ILLIAC M.T.A.C. 7 215-220 (1953).

2. G. E. FORSYTHE AND P. HENRICI The Cyclic Jacohi Method for Computing the Principal Values of a Complex Matrix To be published. G. E. FORSYTHE AND P. HENRICI The Cyclic Jacohi Method for Computing the Principal Values of a Complex Matrix To be published.

3. H. D. HUSKEY Characteristics of the Institute for Numerical Analysis Computer M.T.A.C. 4 103--108 (1950). H. D. HUSKEY Characteristics of the Institute for Numerical Analysis Computer M.T.A.C. 4 103--108 (1950).

4. W. L. WILSON Tables of Inverses to Laplacian Operators Over Triangular Grids (de. posited in M.T.A.C.U.M.T. file) review 53 M.T.A.C. 11 (1957). W. L. WILSON Tables of Inverses to Laplacian Operators Over Triangular Grids (de. posited in M.T.A.C.U.M.T. file) review 53 M.T.A.C. 11 (1957).

Cited by 33 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Diagonalization-free self-consistent field approach with localized molecular orbitals;Theoretical Chemistry Accounts;2021-10-16

2. Jacobi Decomposition and Eigenvalues of Symmetric Matrices;Algorithms and Combinatorics;2003

3. Eigenvalue computation in the 20th century;Numerical Analysis: Historical Developments in the 20th Century;2001

4. Eigenvalue computation in the 20th century;Journal of Computational and Applied Mathematics;2000-11

5. On the Parallel Implementation of Jacobi and Kogbetliantz Algorithms;SIAM Journal on Scientific Computing;1994-11