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The Eigenvalues and Singular Values of Matrix Sums and Products. VII (1)

Published online by Cambridge University Press:  20 November 2018

R. C. Thompson  and
S. Therianos
R. C. Thompson
Affiliation:
University of California, Santa Barbara California
S. Therianos
Affiliation:
University of California, Santa Barbara California
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This paper is a continuation of the two series, Eigenvalues of Sums I, II, III [2], [3], [4] and Singular Values of Products I, II, III [5], [6], [7].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 4 , December 1973 , pp. 561 - 569
Copyright
Copyright © Canadian Mathematical Society 1973

Footnotes

(1)

The preparation of this paper was supported by the U.S. Air Force Office of Scientific Research, under Grant 698-67. 561

References

1. Horn, A., Eigenvalues of sums of Hermitian matrices, Pacific J. Math. 12 (1962), 225–241.Google Scholar
2. Thompson, R. C. and Freede, L. J., Eigenvalues of sums of Hermitian matrices, Linear Algebra and Appl. 4 (1971), 369–376.Google Scholar
3. Thompson, R. C. and Freede, L. J., Eigenvalues of sums of Hermitian matrices. II, Aequationes Mathematicae 5 (1970), 103–115.Google Scholar
4. Thompson, R. C. and Freede, L. J., Eigenvalues of sums of Hermitian matrices. III J. Research National Bureau Standards. 75B (1971), 115–120.Google Scholar
5. Thompson, R. C. and Therianos, S., On the singular values of matrix products. I, Scripta Math. 29 (1973), 99–110.Google Scholar
6. Thompson, R. C., On the singular values of matrix products. II, Scripta Math. 29 (1973), 111–114.Google Scholar
7. Thompson, R. C. and Therianos, S., On the singular values of matrix products. III 29 (1973), 115–123.Google Scholar
8. Zwahlen, B. P., ÜberdieEigenwerte der summe zweier selbstadjungierter Operator en, Comment. Math. Helv. 40 (1966), 81–116.Google Scholar