On relation between P-matrices and regularity of interval matrices

Abstrakt

We explore new results between P-matrix property and regularity of interval matrices. In particular, we show that an interval matrix is regular in and only if some special matrices constructed from its center and radius matrices are P-matrices.

We also investigate the converse direction. We reduce the problem of checking P-matrix property to regularity of a special interval matrix.

Based on this reduction, novel sufficient condition for a P-matrix property is derived, and its strength is inspected. We also state a new observation to interval P-matrices.

Klíčová slova

• Interval matrix
• P-matrix
• Interval analysis
• Linear complementarity