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This is a monograph for mathematicians interested in an important realm ofmatrixanalytic ideas. Like the authors distinguished book Matrix Analysisit will be a convenient and muchquoted reference source. There are manywonderful insights in a firstrate exposition of important ideas not easilyextracted from other sources. The scholarship is impeccable.Roger A. HornUniversity of Utah I believe that every expert in matrix analysis can findsomething new in this book. Bhatia presents some important material in severaltopics related to positive definite matrices including positive linear mapscompletely positive maps matrix means positive definite functions andgeometry of positive definite matrices. There are many beautiful resultsuseful techniques and ingenious ideas here. Bhatias writing style has alwaysbeen concise clear and illuminating.Xingzhi Zhan East China NormalUniversity «
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