Two Hadamard numbers for matrices-Reference-Cited by-同舟云学术

Two Hadamard numbers for matrices

Published:1975-01 Issue:1 Volume:18 Page:25-29
ISSN:0001-0782
Container-title:Communications of the ACM
language:en
Short-container-title:Commun. ACM

Author:

Birkhoff Garrett¹

Affiliation:

1. Harvard Univ., Cambridge, MA

Abstract

A discussion is given of two functions of the entries of a square matrix, both related to Hadamard's determinant theorem, which have some merits as alternatives to norm-bound “condition numbers.” One (for linear systems) is known; the other (for eigensystems) seems to be new.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science

Link

https://dl.acm.org/doi/pdf/10.1145/360569.360655

Reference13 articles.

1. Birkhoff G. and Maclane S A Survey of Modern Algebra 3d. ed. Macmillan New York 1965. Birkhoff G. and Maclane S A Survey of Modern Algebra 3d. ed. Macmillan New York 1965.

2. Von Neumann John. Collected Works Vol. V. Pergamon Elmsford N.Y. 1963. In part a reprint of J. yon Neumann and H.H. Goldstine: Numerical inverting of matrices of high order Bull. Amer. Math. Soc. 53 (1947) 1021-99 and Proc. Amer. Math. Soc. 2 (1951) 188-202. Von Neumann John. Collected Works Vol. V. Pergamon Elmsford N.Y. 1963. In part a reprint of J. yon Neumann and H.H. Goldstine: Numerical inverting of matrices of high order Bull. Amer. Math. Soc. 53 (1947) 1021-99 and Proc. Amer. Math. Soc. 2 (1951) 188-202.

3. The Evaluation of Matrix Inversion Programs

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