vol17_pp473-486. 164KB Jun 04 2011 12:06:01 AM
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Totally nonnegative matrix, Tridiagonal matrix, Hadamard core, Schur comple- ment, Matrix inequality, Hadamard product, SC-closure.. AMS
The main result here, Theorem 2.3, characterizes the minimizers of the distance between a given positive semidefinite matrix and the unitary group, for strictly increasing Schur
Its input is the matrix A in double precision and its outputs are also in double precision: V (the eigen- vector matrix), Lambda (the eigenvalue diagonal matrix) and OFF (the
The NIEDP contains the nonnegative inverse eigenvalue problem ( NIEP), which asks for necessary and sufficient conditions for the existence of an entrywise nonneg- ative matrix A
To estimate matrix singular values is an attractive topic in matrix theory and numerical analysis, especially to give a lower bound for the smallest one.. Then the singular values of
In this paper, we present some results relating different matrix partial orderings and the reverse order law for the Moore-Penrose inverse and group inverse.. Special attention is
The extreme ranks, i.e., the maximal and minimal ranks, are established for the general Hermitian solution as well as the general skew-Hermitian solution to the classical
Computing exact bounds on elements of an inverse interval matrix is NP-hard.. Linear Optimization Problems with