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The determinant of the sum of two matrices

Published online by Cambridge University Press:  17 April 2009

Chi-Kwong Li  and
Roy Mathias
Chi-Kwong Li
Affiliation:
Department of MathematicsCollege of William and MaryWilliamsburg VA 23187–8795United States of America, e-mail: ckli@cs.wm.edu, mathias@cs.wm.edu
Roy Mathias
Affiliation:
Department of MathematicsCollege of William and MaryWilliamsburg VA 23187–8795United States of America, e-mail: ckli@cs.wm.edu, mathias@cs.wm.edu
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Abstract

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Let A and B be n × n matrices over the real or complex field. Lower and upper bounds for |det(A + B)| are given in terms of the singular values of A and B. Extension of our techniques to estimate |f(A + B)| for other scalar-valued functions f on matrices is also considered.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 3 , December 1995 , pp. 425 - 429
Copyright
Copyright © Australian Mathematical Society 1995

References

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