vol18_pp801-820. 201KB Jun 04 2011 12:06:05 AM
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In this paper, by constructing the equivalent form of the continuous algebraic Riccati equation (CARE) and applying some matrix inequalities, a new lower bounds solution of the CARE
Inverse eigenvalue problem, Symmetric stochastic matrix, Symmetric nonnegative matrix, Distance matrix.. AMS
Nonnegative matrices, Diagonal similarity scaling, Diagonal equivalence scaling, Digraph of a matrix, Cyclic product, Cycle mean, Lattice ordered commutative groups.. AMS
Eigenvalue, Majorization, Matrix absolute value, Matrix inequality, Matrix norm, Normal matrix, Positive semidefinite matrix, Singular value, Spread, Wielandt inequality.. AMS
A square complex or real matrix A is called an H-matrix if there exists a square positive diagonal matrix X such that AX is strictly diagonally dominant (SDD)[5].. We denote by ρ (
In the context of invertible M-matrices (i.e., when B ≥ 0), condition (ii) of Theorem 4.3 is associated with diagonal dominance of AD because the diagonal entries are positive and
In this paper, by investigating the Perron vector of G, we show that type-I-a graphs are not λ 1 -extremal graphs, and type-I-b (resp. type-II-a) graphs with some.. specified
A real matrix with nonnegative entries and having a largest eigenvalue of multiplicity just one has a strictly positive left eigenvector (see the Appendix) if and only if there
