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In view of the wide range of applications, both of the polar decomposition and of companion matrices, an explicit formula for C = P U is useful.. It

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Reently, the authors established a number of inequalities involving integer powers of the Hadamard produt of two positive denite Hermitian matries.. Here these results are extended

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Compound matrix, Elementary divisors, Invariant polynomials, Jordan struc- ture, Matrix pencil, Matrix polynomial, Palindromic matrix polynomial, Smith form, Structured

Applying the properties of the Hadamard core for totally nonnegative matrices, we obtain the Schur complement inequalities for the Hadamard product of totally nonnegative

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Key words : Analytic function; Hadamard product (or convolution); Univalent function; Convex function; Derivative operator; Differential subordination; Best