Gil', Michael I.

Estimates for absolute values of matrix functions

Electron. J. Linear Algebra 16, 444-450, electronic only (2007)

Summary

Summary: Sharp estimates for the absolute values of entries of matrix valued functions of finite and infinite matrices are derived. These estimates give us bounds for various norms of matrix valued functions. Applications of the obtained estimates to differential equations are also discussed.

Mathematics Subject Classification

15A54, 15A60

Keywords/Phrases

matrix valued function, estimate for entries, estimate for norm

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