About the Book
‘Linear Algebra with Applications’ portrays selected articles published earlier by Prof Ravindra B Bapat in various reputed journals. This volume published in honour of Prof Bapat, on the occasion of his 60th birthday, consists of his original research articles written in the area of (i) Permanent, Determinant and their applications, (ii) Non-negative Matrices, (iii) Matrix Methods in Statistics and Graph theory, and (iv) Generalized Inverses of a Matrix. Starting with an article ‘A Generalization of a Theorem of Ky Fan on Simplicial Maps’, his first article published in 1980, several articles probing the properties of permanent and determinant, characterization of generalized inverses, spectral properties of graphs, and applications of matrix methods in statistics are compiled in this volume. The articles selected in this book will certainly inspire the young linear algebraists and provide several matrix techniques to solve different problems in the area of applied linear algebra.
About the Authors
Steve Kirkland is the Professor and Head at the University of Manitoba Canada. His research interests include non-negative matrix theory, spectral graph theory, and combinatorial matrix theory. He is currently the Editor-in-Chief of the journal Linear and Multilinear Algebra, Associate Editor of Linear Algebra and its Applications and Advisory Editor of Electronic Journal of Linear Algebra. He also served as the President of the International Linear Algebra Society from 2008 to 2014.
K Manjunatha Prasad earned his PhD from the Indian Statistical Institute. Currently, he is a professor of Mathematics at the Department of Statistics, Manipal University, Manipal. His research interests are matrix theory, generalized inverses, ring theory, and projective modules. He has several publications in the area of his research.
Simo Puntanen earned his PhD in Statistics from the University of Tampere (Finland) in 1987. He is a Professor Emeritus from the University of Tampere. Though Tampere has been his headquarter, he has accepted research visits to Canada, New Zealand, Poland and India. He has published over 110 research papers in matrix methods for statistics with emphasis on linear statistical models.
Sukanta Pati earned his PhD from the Indian Statistical Institute, Delhi in 2000. Currently, he is an Associate Professor at Indian Institute of Technology Guwahati. His research interests are matrices in graphs, and spectral graph theory. He has published several articles in the area of his research. He is also on the editorial board of the journal Linear and Multilinear Algebra.