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 volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of th

This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versio