CiNii 図書 - Linear algebra

著者

- Murota, Kazuo
- Sugihara, Masaaki

書誌事項

Linear algebra

Kazuo Murota (the Institute of Statistical Mathematics, Japan, Professor Emeritus at the University of Tokyo, Japan & Kyoto University, Japan & Tokyo Metropolitan University, Japan), Masaaki Sugihara (Professor Emeritus at the University of Tokyo, Japan & Nagoya University, Japan)

（UTokyo Engineering Course/Basic Mathematics）

Maruzen Publishing : World Scientific, [2022]

タイトル別名: Senkei daisū

統一タイトル: Senkei daisū

この図書・雑誌をさがす

注記

Content Type: text (rdacontent), Media Type: unmediated (rdamedia), Carrier Type: volume (rdacarrier)

"These volumes were originally written in Japanese and published from Maruzen Publishing in 2013 and 2015. The present English version is their almost faithful translations by the authors"-- preface

Includes bibliographical references and index

Summary: "This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course. The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations. In particular, the following four aspects are emphasized. How matrices arise (discretization of differential equations, description of system structures, description of transition probability) What kinds of matrices arise (sparse matrices, positive definite matrices, diagonally-dominant matrices, nonnegative matrices, integer matrices, polynomial matrices) What characteristics we are interested in (rank, eigenvalues, singular values, positive definiteness) How we can compute (expan

収録内容

[Volume] 1. Basic concepts
[Volume] 2. Advanced topics for applications

内容説明・目次

内容説明

This is the second volume of the two-volume book on linear algebra in the University of Tokyo (UTokyo) Engineering Course.The objective of this second volume is to branch out from the standard mathematical results presented in the first volume to illustrate useful specific topics pertaining to engineering applications. While linear algebra is primarily concerned with systems of equations and eigenvalue problems for matrices and vectors with real or complex entries, this volumes covers other topics such as matrices and graphs, nonnegative matrices, systems of linear inequalities, integer matrices, polynomial matrices, generalized inverses, and group representation theory.The chapters are, for the most part, independent of each other, and can be read in any order according to the reader's interest. The main objective of this book is to present the mathematical aspects of linear algebraic methods for engineering that will potentially be effective in various application areas.

「Nielsen BookData」より

Linear algebra

著者

書誌事項

この図書・雑誌をさがす

注記

収録内容

内容説明・目次

詳細情報

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