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Sign patterns requiring a unique inertia.
- Source :
-
Linear Algebra & its Applications . Jun2018, Vol. 546, p67-85. 19p. - Publication Year :
- 2018
-
Abstract
- A sign pattern requires a unique inertia if every real matrix in the sign pattern class has the same inertia. Several sufficient or necessary conditions are given for a sign pattern to require a unique inertia. It is proved that a sign pattern requires a unique inertia if and only if it requires a unique refined inertia. All sign patterns of orders 2 and 3 that require a unique inertia are characterized. If the underlying graph of a sign pattern is a tree, then it is shown that any skew-symmetric sign pattern requires a unique inertia, and a linear-time algorithm is given to determine whether or not a symmetric sign pattern requires a unique inertia. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 546
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 128395000
- Full Text :
- https://doi.org/10.1016/j.laa.2018.01.031