论文信息 - Accretive matrix products

Accretive matrix products

Let Σ(F) be the class of hermitian positive definite elements of Mn (F), where F is either R, the real, or C, the complex field, and let For j ⩾ 0 and k ⩾ 1, all set products of the form: are determined for integers j k. This completes earlier work of Ballantine and Taussky which determined for integers j ⩾ 0. Also inequalities for the eigenvalues of are given in terms of conjunctive invariants of S T ∈ Π (C). Finally some conditions are presented which insure for certain pairs A B ∈ Mn (C) that the product AB is in Π(C).

Charles R. Johnson | C. Ballantine | C. S. Ballantine

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