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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Laguerre’s method applied to the matrix eigenvalue problem
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Math. Comp. 18 (1964), 464-485 Request permission
References
  • Report on the algorithmic language ALGOL 60, Numer. Math. 2, 106–136. Also published as Acta Polytech. Scandinav. 284 (1960), 40 pp. MR 0130074, DOI 10.1007/BF01386216
  • E. Durand, Solutions numériques des équations algébriques. Tome I: Équations du type $F(x)=0$; racines d’un polynôme, Masson et Cie, Éditeurs, Paris, 1960 (French). MR 0121987
  • P. J. Eberlein, A Jacobi-like method for the automatic computation of eigenvalues and eigenvectors of an arbitrary matrix, J. Soc. Indust. Appl. Math. 10 (1962), 74–88. MR 139264, DOI 10.1137/0110007
  • Werner L. Frank, Computing eigenvalues of complex matrices by determinant evaluation and by methods of Danilewski and Wielandt, J. Soc. Indust. Appl. Math. 6 (1958), 378–392. MR 103586, DOI 10.1137/0106026
  • E. N. Laguerre, Oeuvres de Laguerre, Gauthier-Villars, Paris, Vol. 1, p. 87-103.
  • Hans J. Maehly, Zur iterativen Auflösung algebraischer Gleichungen, Z. Angew. Math. Phys. 5 (1954), 260–263 (German). MR 63146, DOI 10.1007/bf01600333
  • B. N. Parlett, Applications of Laguerre’s Method to the Matrix Eigenvalue Problem, Tech. Report No. 21, Stanford Univ., Applied Math. and Stat. Labs., Contract Nonr 225(37), 1962.
  • J. B. Rosser, C. Lanczos, M. R. Hestenes, and W. Karush, Separation of close eigenvalues of a real symmetric matrix, J. Research Nat. Bur. Standards 47 (1951), 291–297. MR 0048914, DOI 10.6028/jres.047.037
  • Paul A. White, The computation of eigenvalues and eigenvectors of a matrix, J. Soc. Indust. Appl. Math. 6 (1958), 393–437. MR 100350, DOI 10.1137/0106027
  • J. H. Wilkinson, Determination of Characteristic Values and Characteristic Vectors, Application of Advanced Numer. Anal. to Digital Computers, Summer Session, 1958, Univ. of Michigan, Ann Arbor, Mich., p. 101-154. J. H. Wilkinson, Notes on Practical Methods of Solving Linear Systems and Calculating the Eigensystems of Matrices, National Physical Laboratory, Teddington, England, 1959. J. H. Wilkinson, Advanced Numerical Analysis, Summer Session, 1960, Univ. of Michigan, Ann Arbor, Mich.
  • J. H. Wilkinson, Error analysis of floating-point computation, Numer. Math. 2 (1960), 319–340. MR 116477, DOI 10.1007/BF01386233
  • J. H. Wilkinson, Stability of the reduction of a matrix to almost triangular and triangular forms by elementary similarity transformations, J. Assoc. Comput. Mach. 6 (1959), 336–359. MR 106542, DOI 10.1145/320986.320988
  • J. H. Wilkinson, The Numerical Eigenvalue Problem, Oxford Univ. Press, in preparation.
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Additional Information
  • © Copyright 1964 American Mathematical Society
  • Journal: Math. Comp. 18 (1964), 464-485
  • MSC: Primary 65.40
  • DOI: https://doi.org/10.1090/S0025-5718-1964-0165668-2
  • MathSciNet review: 0165668