
\textit{E. Lutwak} [J. Linear Algebra Appl. 57, 13-19 (1984; Zbl 0529.15012)] defined \(\Phi_ p(A)\), the power mean of a positive definite \(n\times n\) symmetric matrix A, as \[ \Phi_ p(A) = [1/n\omega_ n\int_{S^{n-1}}(u,Au)^{p/2} dS(u)]^{2/p},\quad -\infty
Positive matrices and their generalizations; cones of matrices, power mean, Hadamard product, Miscellaneous inequalities involving matrices, inequalities, positive definite matrices, geometric and arithmetic means, Determinants, permanents, traces, other special matrix functions, comparison of matrices, linear models, Quadratic and bilinear forms, inner products
Positive matrices and their generalizations; cones of matrices, power mean, Hadamard product, Miscellaneous inequalities involving matrices, inequalities, positive definite matrices, geometric and arithmetic means, Determinants, permanents, traces, other special matrix functions, comparison of matrices, linear models, Quadratic and bilinear forms, inner products
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