vol10_pp81-101. 226KB Jun 04 2011 12:05:51 AM
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The inverse elementary divisor problem for nonnegative matrices asks for neces- sary and sufficient conditions for the existence of a nonnegative matrix with prescribed
result and known Perron-Frobenius theory of eventually nonnegative matrices are used to establish an algorithm to determine whether a matrix is strongly eventually nonnegative (i.e.,
Laplacian matrix, Algebraic connectivity, Caterpillar, Bottleneck matrices, Perron branches, Characteristic vertices.. AMS
Totally nonnegative matrix, Tridiagonal matrix, Hadamard core, Schur comple- ment, Matrix inequality, Hadamard product, SC-closure.. AMS
We have presented new structured canonical forms for matrices that are symmetric or skew-symmetric with respect to the main diagonal as well as the anti-diagonal, and
Schur complement, LU factorization, Bipartite graph, Sign pattern, Zero pattern, Nearly reducible matrix, Minimally strongly connected digraph.. AMS
Circulant matrix, A -Factor circulant matrices, Block Vandermonde and Fourier matrices, Rotation and hyperbolic matrices, Generalized Euler formula matrices, Periodic solutions..
Characterizations are obtained for Schur (Hadamard) multiplicative maps on com- plex matrices preserving the spectral radius, numerical radius, or spectral norm.. Similar results
