Several necessary or sufficient conditions for a sign pattern to allow eventual positivity are established. It is also shown that certain families of sign patterns do not allow eventual positivity.â€¦ (More)

A sign pattern matrix is a matrix whose entries are from the set {+,âˆ’, 0}. The minimum rank of a sign pattern matrix A is the minimum of the ranks of the real matrices whose entries have signs equalâ€¦ (More)

A sign pattern matrix is a matrix whose entries are from the set fÃ¾; ; 0g. The purpose of this paper is to obtain bounds on the minimum rank of any symmetric sign pattern matrix A whose graph is aâ€¦ (More)

The Singular Value Decomposition is one of the most useful matrix factorizations in applied linear algebra, the Principal Component Analysis has been called one of the most valuable results ofâ€¦ (More)

In this paper the authors continue their work on geometric multiplicities and GeÅ™sgorin discs done in a series of four recent papers. The new results involve principal submatrices, an upper bound onâ€¦ (More)

1. TOURNAMENTS. In an n-player round robin tournament, each player plays one match against each of the other n 1 players. The win-loss outcomes of these matches can be conveniently recorded in aâ€¦ (More)

It is often desired to have control over a process or a physical system, to cause it to behave optimally. Optimal control theory deals with analyzing and finding solutions for optimal control for aâ€¦ (More)