T. Le

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20172026

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Showing 2020Show all

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math.NA2020

Simultaneous diagonalization via congruence of Hermitian matrices: some equivalent conditions and a numerical solution

T. H. Le, T. N. Nguyen

This paper aims at solving the Hermitian SDC problem, i.e., that of \textit{simultaneously diagonalizing via $*$ -congruence} a collection of finitely many (not need pairwise commut…

math.OC2020

Simultaneous diagonalization via congruence of $m$ real symmetric matrices and its implications in optimization

Thi-Ngan Nguyen, Van-Bong Nguyen, Thanh-Hieu Le +1

Let ${C_{1}, C_{2}, \dots, C_{m}}, m \geq 2$ be a collection of $n \times n$ real symmetric matrices. The objective of the paper is to offer an algorithm that finds a common congruence ma…

Simultaneous diagonalization via congruence of Hermitian matrices: some equivalent conditions and a numerical solution

Simultaneous diagonalization via congruence of m real symmetric matrices and its implications in optimization

Simultaneous diagonalization via congruence of $m$ real symmetric matrices and its implications in optimization