A real matrix is positive semidefinite if it can be decomposed as A = BBOC . In some applications the matrix B has to be elementwise nonnegative. If such a matr

This account of totally positive matrices treats their central properties with full proofs and a complete bibliography.

Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential

This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommu

This book is an updated and extended version of Completely Positive Matrices (Abraham Berman and Naomi Shaked-Monderer, World Scientific 2003). It contains new