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

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

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Journal of the ACM (JACM) archive
Volume 4 , Issue 4 (October 1957) table of contents

Pages: 459 - 466

Year of Publication: 1957

ISSN:0004-5411

Authors

David A. Pope	University of California, Los Angeles, Calif.
C. Tompkins	University of California, Los Angeles, Calif.

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 4, Downloads (12 Months): 23, Citation Count: 4

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	C. G. J. JACOBI, Uber ein leichtes Verfahren, die in der Theorie der SakularstStorungen vorkommenden Gleichungen numerish aufzulSsen, Journal fur reine und anqewandte Mathematik 30, 51-95 (1846).
	2	R. T. GREGORY, Computing Eigenvalues and Eigenvectors of a Symmetric Matrix on the ILLIAC, M.T.A.C. 7, 215-220 (1953).
	3	G. E. FORSYTHE AND P. HENRICI, The Cyclic Jacohi Method for Computing the Principal Values of a Complex Matrix, To be published.
	4	H. D. HUSKEY, Characteristics of the Institute for Numerical Analysis Computer, M.T.A.C. 4, 103--108 (1950).
	5	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).
	6	J. TODD, The Condition of the Finite Segments of the Hilbert Matrix, in Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues, NBS Appl. Math. Series No. 39, pp. 109--116 (U. S. Government Printing Office, Washington, D. C., 1954).
	7	M. LOTKIN, A Set of Test Matrices, M.T.A.C. 9, 1533-161 (1955).
	8	M. R. HESTENE8, U. W. HOCHSTRASSER, .AND L. S. WILSON, Some Numemcal Examples on Solving. Systems of Linear Equations by the Conjugate Gradient Method for Nonsyinmeirici Systems of Equations, an NBS Working Paper (1952).
	9	E. BoDEWISi--Matrix Calculus (North Holland Publishing Company, Amsterdam, 1956).

CITED BY 4

	F. J. Corbató, On the Coding of Jacobi's Method for Computing Eigenvalues and Eigenvectors of Real Symmetric Matrices, Journal of the ACM (JACM), v.10 n.2, p.123-125, April 1963
	F. J. Corbató, On the coding of Jacobi's method of computing eigenvalues and eigenvectors of real, symmetric matrices, Preprints of papers presented at the 14th national meeting of the Association for Computing Machinery, September 01-03, 1959, Cambridge, Massachusetts
	H. H. Goldstine , L. P. Horwitz, A Procedure for the Diagonalization of Normal Matrices, Journal of the ACM (JACM), v.6 n.2, p.176-195, April 1959
	H. H. Goldstine , F. J. Murray , J. von Neumann, The Jacobi Method for Real Symmetric Matrices, Journal of the ACM (JACM), v.6 n.1, p.59-96, Jan. 1959