Matrices: Algebra, Analysis and Applications - Hardcover

Friedland, Shmuel

Hardcover

ISBN 10: 981466796X ISBN 13: 9789814667968

Verlag: WSPC, 2015

Inhaltsangabe

Páginas:596Géneros:12:UY:Computerscience12:PBW:AppliedmathematicsSinopsis: ,Thisvolumedealswithadvancedtopicsinmatrixtheoryusingthenotionsandtoolsfromalgebra,analysis,geometryandnumericalanalysis.Itconsistsofsevenchaptersthatarelooselyconnectedandinterdependent.Thechoiceofthetopicsisverypersonalandreflectsthesubjectsthattheauthorwasactivelyworkingoninthelast40years.Manyresultsappearforthefirsttimeinthevolume.Readerswillencountervariouspropertiesofmatriceswithentriesinintegraldomains,canonicalformsforsimilarity,andnotionsofanalytic,pointwiseandrationalsimilarityofmatriceswithentrieswhicharelocallyanalyticfunctionsinonevariable.Thisvolumeisalsodevotedtovariouspropertiesofoperatorsininnerproductspace,withtensorproductsandotherconceptsinmultilinearalgebra,andthetheoryofnon-negativematrices.Itwillbeofgreatusetograduatestudentsandresearchersworkinginpureandappliedmathematics,bioinformatics,computerscience,engineering,operationsresearch,physicsandstatistics._,

Über diesen Titel

Críticas:

People who do, or who plan to do, research in the topics in linear algebra that are covered here, will undoubtedly find this to be a very valuable book. --Mathematical Association of America

This volume is an original and lasting reference in the literature. Reading it is most appealing since it requires an active and critical attitude, a methodological advantage. The author is one of the most brilliant and inspiring mathematicians of his generation and the present book is a gift for researchers in pure and applied mathematics and scientists interested in matrix analysis and applications. --Mathematical Reviews Clippings

Reseña del editor:

This volume deals with advanced topics in matrix theory using the notions and tools from algebra, analysis, geometry, and numerical analysis. It consists of seven chapters that are loosely connected. The very personal choice of topics reflects the subjects that the author was actively working on in the last 40 years. Many results appear for the first time in the volume. Readers will encounter various properties of matrices with entries in integral domains, canonical forms for similarity, and notions of analytic, pointwise and rational similarity of matrices with entries which are locally analytic functions in one variable. This volume also discusses various properties of operators in inner product space, with tensor products and other concepts in multilinear algebra, and the theory of nonnegative matrices. It will be of great use to graduate students and researchers working in pure and applied mathematics, bioinformatics, computer science, engineering, operation research, physics and statistics.

Über diese Auflage

• Verlag: WSPC
• Erscheinungsdatum: 2015
• ISBN 10: 981466796X
• ISBN 13: 9789814667968
• Einband: Tapa dura
• Anzahl der Seiten: 596