A new look at sylvester's theorem in matrix theory

Tungyang Chen

doi:10.1017/S172771910000023X

A new look at sylvester's theorem in matrix theory

Tungyang Chen

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	209-215
Number of pages	7
Journal	Journal of Mechanics
Volume	14
Issue number	4
DOIs	https://doi.org/10.1017/S172771910000023X
Publication status	Published - 1998 Dec

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanical Engineering
Applied Mathematics

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title = "A new look at sylvester's theorem in matrix theory",

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.",

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A new look at sylvester's theorem in matrix theory

Abstract

All Science Journal Classification (ASJC) codes

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