Good hidden P-matrix sandwiches
Copyright policy )Good hidden P-matrix sandwiches
AbstractWe introduce two new classes of matrices that contain the class of P-matrices and can be recognized in polynomial time. These classes are related to the known classes of Hidden Minkowski and hidden positive row diagonally dominant matrices, which are subclasses of the P-matrix class. We show that for 3×3 matrices, the class of hidden prdd matrices coincides with the class of P-matrices. Alternative theorems for these hidden matrix classes are given and it is shown how one can use them to efficiently check membership in the classes.
- Tohoku University Japan
- Toho University Japan
- George Mason University United States
- Toho University Japan
Numerical Analysis, Algebra and Number Theory, Alternative theorem, Hidden Minkowski matrices, Discrete Mathematics and Combinatorics, Row diagonally dominant, Linear complementarity problems, Geometry and Topology, P-matrices
Numerical Analysis, Algebra and Number Theory, Alternative theorem, Hidden Minkowski matrices, Discrete Mathematics and Combinatorics, Row diagonally dominant, Linear complementarity problems, Geometry and Topology, P-matrices
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