AbstractWe give a complete description of the possible inertias of real symmetric matrices with a given (arbitrarily prescribed) tridiagonal symmetric sign pattern. The inertia set of such a pattern is a subset of Z2 given by a system of linear inequalities, whose parameters are determined from the sign sequence of the pattern’s diagonal entries
A signed graph is a pair (G,Σ), where G = (V,E) is a graph (in which parallel edges are permitted, b...
A sign pattern is a matrix whose entries are from the set $\{+, -, 0\}$. This thesis contains proble...
AbstractAn n × n sign pattern H is said to be sign-invertible if there exists a sign pattern H−1 (ca...
AbstractWe give a complete description of the possible inertias of real symmetric matrices with a gi...
summary:A matrix whose entries consist of elements from the set $\lbrace +,-,0\rbrace $ is a sign pa...
A matrix whose entries are +, ¡ or 0 is said a sign pattern. The inertia set of an n-by-n symmetric...
AbstractA sign pattern matrix is a matrix whose entries are from the set {+,−,0}. The purpose of thi...
summary:The inertia set of a symmetric sign pattern $A$ is the set $i(A)=\lbrace i(B) \mid B=B^T \in...
summary:The inertia of an $n$ by $n$ symmetric sign pattern is called maximal when it is not a pro...
AbstractThe set of all eigenvalues (counting multiplicities) of a matrix A is denoted by σ(A), and t...
AbstractAn n×n sign pattern matrix S is an inertially arbitrary pattern (IAP) if each nonnegative tr...
AbstractAn n by n sign pattern S is inertially arbitrary if each ordered triple (n1,n2,n3) of nonneg...
AbstractAn n-by-n sign pattern A is a matrix with entries in {+,-,0}. An n-by-n nonzero pattern A is...
A sign pattern(matrix) is a matrix whose entries are from the set {+,-,0}. An n x n sign pattern mat...
AbstractThe refined inertia ri(A) of a real n×n matrix A is the ordered 4-tuple (n+,n-,nz,2np) where...
A signed graph is a pair (G,Σ), where G = (V,E) is a graph (in which parallel edges are permitted, b...
A sign pattern is a matrix whose entries are from the set $\{+, -, 0\}$. This thesis contains proble...
AbstractAn n × n sign pattern H is said to be sign-invertible if there exists a sign pattern H−1 (ca...
AbstractWe give a complete description of the possible inertias of real symmetric matrices with a gi...
summary:A matrix whose entries consist of elements from the set $\lbrace +,-,0\rbrace $ is a sign pa...
A matrix whose entries are +, ¡ or 0 is said a sign pattern. The inertia set of an n-by-n symmetric...
AbstractA sign pattern matrix is a matrix whose entries are from the set {+,−,0}. The purpose of thi...
summary:The inertia set of a symmetric sign pattern $A$ is the set $i(A)=\lbrace i(B) \mid B=B^T \in...
summary:The inertia of an $n$ by $n$ symmetric sign pattern is called maximal when it is not a pro...
AbstractThe set of all eigenvalues (counting multiplicities) of a matrix A is denoted by σ(A), and t...
AbstractAn n×n sign pattern matrix S is an inertially arbitrary pattern (IAP) if each nonnegative tr...
AbstractAn n by n sign pattern S is inertially arbitrary if each ordered triple (n1,n2,n3) of nonneg...
AbstractAn n-by-n sign pattern A is a matrix with entries in {+,-,0}. An n-by-n nonzero pattern A is...
A sign pattern(matrix) is a matrix whose entries are from the set {+,-,0}. An n x n sign pattern mat...
AbstractThe refined inertia ri(A) of a real n×n matrix A is the ordered 4-tuple (n+,n-,nz,2np) where...
A signed graph is a pair (G,Σ), where G = (V,E) is a graph (in which parallel edges are permitted, b...
A sign pattern is a matrix whose entries are from the set $\{+, -, 0\}$. This thesis contains proble...
AbstractAn n × n sign pattern H is said to be sign-invertible if there exists a sign pattern H−1 (ca...
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