A Trace Inequality for Symmetric Nonnegative Definite Matrices

Shi Qing Wang

doi:10.4028/www.scientific.net/AMR.225-226.970

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 225-226A Trace Inequality for Symmetric Nonnegative...

A Trace Inequality for Symmetric Nonnegative Definite Matrices

Abstract:

Trace inequalities naturally arise in control theory and in communication systems with multiple input and multiple output. One application of Belmega’s trace inequality has already been identified [3]. In this paper, we extend the symmetric positive definite matrices of his inequality to symmetric nonnegative definite matrices, and the inverse matrices to Penrose-Moore inverse matrices.

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Periodical:

Advanced Materials Research (Volumes 225-226)

Pages:

970-973

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.225-226.970

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Online since:

April 2011

Authors:

Shi Qing Wang

Keywords:

Generalized Inverse Matrix, Penrose-Moore Inverse Matrix, Symmetric Nonnegative Definite Matrix, Symmetric Positive Definite Matrix, Trace Inequality

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References

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