Wang Shu-gui
Abstract
In this paper, we extend an inequility gived in \, get the following result: If all A i,…,C i (i=1,…,k) are positive definite Hermintian matrixes of order n;α,…,γ are positive real numbers and 0+…+γ=p≥1; then ∑ki=1｜A i｜ α…｜C i｜ γ∑ki=1A i α…∑ki=1C\-i γ
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In this paper, we extend an inequility gived in \, get the following result: If all A i,…,C i (i=1,…,k) are positive definite Hermintian matrixes of order n;α,…,γ are positive real numbers and 0+…+γ=p≥1; then ∑ki=1｜A i｜ α…｜C i｜ γ∑ki=1A i α…∑ki=1C\-i γ
Key concepts: Positive-definite matrix, Mathematics, Order (exchange), Combinatorics, Matrix (chemical analysis), Discrete mathematics, Pure mathematics, Eigenvalues and eigenvectors