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A New Look at Sylvester's Theorem in Matrix Theory

Published online by Cambridge University Press:  05 May 2011

Tungyang Chen
Tungyang Chen*
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C
*
*Professor
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Abstract

By diagonalizing a matrix via a similarity transformation, we provide a new and direct proof of Sylvester's theorem in matrix theory. Several known theorems are reconstructed. In some places we offer new connections which are unnoticed in the literature before.

Keywords

Matrix theorySylvester's theoremDiagonalization
Type
Articles
Information
Journal of Mechanics , Volume 14 , Issue 4 , December 1998 , pp. 209 - 215
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 1998

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References

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