A test for copositive matrices

By W. Kaplan. 2000

54 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/a87ceefd78867a2471e7e8fba54440aea02d44f8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. K. Kannike
2. Naomi Shaked-Monderer
3. Mirjam Dür
4. Peter J. C. Dickinson

In Geometry and Topology

1. K. Kannike

In Numerical Analysis

1. K. Kannike
2. Mirjam Dür
3. Peter J. C. Dickinson

Citations in the corpus

• Open problems in the theory of completely positive and copositive matrices (2015, background): “As for the question of membership in COPn: A matrix A is copositive if and only if no principal submatrix of A has a positive eigenvector corresponding to a negative eigenvalue [43].”
• Vacuum stability of a general scalar potential of a few fields (2016, background): “Another general way to test copositivity is Kaplan’s test [29]: A symmetric matrix A is copositive if and only if every principal submatrix of A has no eigenvector v > 0 with associated eigenvalue λ 6 0.”