This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers ...

Positive definite matrices play a central role in mathematics, physics, statistics and engineering due to their unique properties and widespread applicability. These matrices, which are characterised ...

Matrix inequalities and means constitute a vibrant area of contemporary mathematical research, blending classical matrix theory with modern applications in numerical analysis, control theory and ...