Some inequalities for matricesAsuch thatA-Iis positive definite or anM-Matrix∗
Ky Fan
Abstract
Ky Fan
Abstract
We prove some inequalities for matrices A such that A − I is either a positive definite Hermitian matrix or an M -matrix where I stands for the identity matrix.
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We prove some inequalities for matrices A such that A − I is either a positive definite Hermitian matrix or an M -matrix where I stands for the identity matrix.
Key concepts: Positive-definite matrix, Mathematics, Matrix (chemical analysis), Combinatorics, Inequality, Pure mathematics, Algebra over a field, Eigenvalues and eigenvectors