Applied Linear Algebra, Probability and Statistics: A Volume in Honour of C. R. Rao and Arbind K. Lal

Bapat, Ravindra B., Karantha, Manjunatha Prasad, Kirkland, Stephen J.

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商品描述

This book focuses on research in linear algebra, statistics, matrices, graphs and their applications. Many chapters in the book feature new findings due to applications of matrix and graph methods. The book also discusses rediscoveries of the subject by using new methods. Dedicated to Prof. Calyampudi Radhakrishna Rao (C.R. Rao) who has completed 100 years of legendary life and continues to inspire us all and Prof. Arbind K. Lal who has sadly departed us too early, it has contributions from collaborators, students, colleagues and admirers of Professors Rao and Lal. With many chapters on generalized inverses, matrix analysis, matrices and graphs, applied probability and statistics, and the history of ancient mathematics, this book offers a diverse array of mathematical results, techniques and applications. The book promises to be especially rewarding for readers with an interest in the focus areas of applied linear algebra, probability and statistics.


作者簡介

Ravindra B. Bapat is Visiting Professor at the Indian Statistical Institute, Delhi Center, New Delhi, India, where he earlier served for more than 35 years. He is also Adjunct Professor at the Manipal Academy of Higher Education (MAHE), Manipal, Karnataka, India. On the editorial board of the Indian Statistical Institute Series (a Springer book series), he is on the editorial board of several journals including Linear and Multilinear Algebra, AKCE International Journal of Graphs and Combinatorics, The Electronic Journal of Linear Algebra, and Indian Journal of Pure and Applied Mathematics. A contributor of more than 150 research articles, he has authored books, Linear Algebra and Linear Models (Springer, 2012) and Graphs and Matrices (Springer, 2010).

Manjunatha Prasad Karantha is Professor and Coordinator of the Center for Advanced Research in Applied Mathematics and Statistics at the Manipal Academy of Higher Education, Manipal, Karnataka, India. His research interests are in matrices over rings, generalized inverses, and matrix methods in graphs. He is on the editorial board of several reputed journals, published several research articles, and edited several books and special issues dedicated to the International Conference on Linear Algebra and its Applications series of conferences in reputed journals.

Stephen Kirkland is Professor at the Department of Mathematics and Associate Dean of the Faculty of Graduate Studies at the University of Manitoba, Canada. His research interests include non-negative matrix theory, spectral graph theory, and combinatorial matrix theory. For more than six years, he served as President of the International Linear Algebra Society. Besides being Editor-in-Chief of the Linear and Multilinear Algebra journal, he has been serving on editorial boards of journals, Linear Algebra and its Applications and the Electronic Journal of Linear Algebra.

S. K. Neogy is Professor at the Indian Statistical Institute and Head of its Delhi Center. He obtained his Ph.D. from the same institute, and his primary areas of research are mathematical programming, special matrices, and game theory. He is Co-editor of several books and special issues of several journals.

Sukanta Pati is Professor at the Indian Institute of Technology Guwahati, Assam, India. His research interests are in matrices in graphs. He is also on the editorial board of journals, Linear Multilinear Algebra, The Mathematics Student and Mathematics Newsletter.

Simo Puntanen is--after retirement--Visiting Researcher at Tampere University, Finland. He is Founding Member, with George P.H. Styan, of the International Workshop on Matrices and Statistics, held regularly from 1990 onwards. He is Co-author (with George P.H. Styan and Jarkko Isotalo) of the book, Matrix Tricks for Linear Statistical Models: Our Personal Top Twenty (Springer, 2011).


作者簡介(中文翻譯)

Ravindra B. Bapat是印度德里統計學院(Indian Statistical Institute)新德里中心的訪問教授,之前在該院工作超過35年。他同時也是印度卡納塔克邦馬尼帕爾高等教育學院(Manipal Academy of Higher Education, MAHE)的兼任教授。他是《印度統計學院系列》(Indian Statistical Institute Series,Springer書系列)的編輯委員會成員,並且在多本期刊的編輯委員會中任職,包括《線性與多線性代數》(Linear and Multilinear Algebra)、《AKCE國際圖形與組合學期刊》(AKCE International Journal of Graphs and Combinatorics)、《電子線性代數期刊》(The Electronic Journal of Linear Algebra)以及《印度純數學與應用數學期刊》(Indian Journal of Pure and Applied Mathematics)。他發表了超過150篇研究文章,並著有《線性代數與線性模型》(Linear Algebra and Linear Models,Springer,2012)和《圖與矩陣》(Graphs and Matrices,Springer,2010)等書籍。

Manjunatha Prasad Karantha是印度卡納塔克邦馬尼帕爾高等教育學院應用數學與統計高級研究中心的教授及協調員。他的研究興趣包括環上的矩陣、廣義逆以及圖中的矩陣方法。他在多本知名期刊的編輯委員會中任職,發表了多篇研究文章,並編輯了多本書籍及專刊,專門針對國際線性代數及其應用系列會議的專題。

Stephen Kirkland是加拿大曼尼托巴大學數學系的教授及研究生院副院長。他的研究興趣包括非負矩陣理論、光譜圖理論及組合矩陣理論。他曾擔任國際線性代數學會的會長超過六年。除了擔任《線性與多線性代數》(Linear and Multilinear Algebra)期刊的主編外,他還在《線性代數及其應用》(Linear Algebra and its Applications)和《電子線性代數期刊》(Electronic Journal of Linear Algebra)的編輯委員會中任職。

S. K. Neogy是印度統計學院的教授及德里中心的主任。他在同一所學院獲得博士學位,主要研究領域包括數學規劃、特殊矩陣及博弈論。他是多本書籍及多個期刊專刊的共同編輯。

Sukanta Pati是印度阿薩姆邦印度理工學院古瓦哈提校區的教授。他的研究興趣集中在圖中的矩陣。他同時也是《線性多線性代數》(Linear Multilinear Algebra)、《數學學生》(The Mathematics Student)及《數學通訊》(Mathematics Newsletter)等期刊的編輯委員會成員。

Simo Puntanen在退休後成為芬蘭坦佩雷大學的訪問研究員。他是與George P.H. Styan共同創立的國際矩陣與統計研討會的創始成員,自1990年以來定期舉行。他與George P.H. Styan及Jarkko Isotalo共同撰寫了《線性統計模型的矩陣技巧:我們的個人前二十》(Matrix Tricks for Linear Statistical Models: Our Personal Top Twenty,Springer,2011)一書。