This comprehensive reference, for mathematical, engineering and social scientists, covers matrix positivity classes and their applications.

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

Matrices and kernels with positivity structures, and the question of entrywise functions preserving them, have been studied throughout the 20th century, attract

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

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