thông tin biểu ghi

ISBN 9789814667968
DDC 512.9
Tác giả CN Friedland, Shmuel
Nhan đề Matrices : algebra, analysis, and applications / Shmuel Friedland
Thông tin xuất bản New Jersey : World Scientific, 2016
Mô tả vật lý xii, 582 pages. ; 25 cm.
Tóm tắt 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 and interdependent. The choice of the topics is very personal and 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 is also devoted to various properties of operators in inner product space, with tensor products and other concepts in multilinear algebra, and the theory of non-negative matrices. It will be of great use to graduate students and researchers working in pure and applied mathematics, bioinformatics, computer science, engineering, operations research, physics and statistics
Từ khóa tự do Determinants
Từ khóa tự do Mathematical methods
Từ khóa tự do Matrix algebra
Từ khóa tự do Linear algebra
Từ khóa tự do Matrices
Từ khóa tự do Matrix analysis
Từ khóa tự do Algebraic structures
Từ khóa tự do Matrix applications
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100 |aFriedland, Shmuel
245 |aMatrices : |balgebra, analysis, and applications / |cShmuel Friedland
260 |aNew Jersey : |bWorld Scientific, |c2016
300 |axii, 582 pages. ; |c25 cm.
520 |aThis 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 and interdependent. The choice of the topics is very personal and 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 is also devoted to various properties of operators in inner product space, with tensor products and other concepts in multilinear algebra, and the theory of non-negative matrices. It will be of great use to graduate students and researchers working in pure and applied mathematics, bioinformatics, computer science, engineering, operations research, physics and statistics
541 |aTặng
653 |aDeterminants
653 |aMathematical methods
653 |aMatrix algebra
653 |aLinear algebra
653 |aMatrices
653|aMatrix analysis
653|aAlgebraic structures
653|aMatrix applications
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