Author: V. N. Sachkov and V. E. Tarakanov
Publisher: American Mathematical Society
Keywords: mathematical, monographs, translations, matrices, nonnegative, combinatorics
Number of Pages: 269
Published: 2002-08-13
List price: $104.00
ISBN-10: 082182788X
ISBN-13: 9780821827888

The variety of combinatorial properties of nonnegative matrices is widely discussed in the mathematical literature, and there are many papers on this topic. However, there are few monographs devoted to these properties of nonnegative matrices. This book fills that gap and presents a summary of the existing material. It provides a good entry point into the subject and includes exercises to aid students. The authors focus on the relation of matrices with nonnegative elements to various mathematical structures studied in combinatorics. In addition to applications in graph theory, Markov chains, t

Authors:R. B. Bapat, T. E. S. Raghavan,
Publisher: Cambridge University Press
Keywords: applications, mathematics, encyclopedia, nonnegative, matrices
Number of Pages: 356
Published: 2009-08-20
List price: $69.00
ISBN-10: 0521118662
ISBN-13: 9780521118668

This book provides an integrated treatment of the theory of nonnegative matrices and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimization and mathematical economics. The authors have chosen the wide variety of applications, which include price fixing, scheduling, and the fair division problem, both for their elegant mathematical content and for their accessibility to students with minimal preparation. They present many new results in matrix theory for the first time in book form, while they present more standard top

Authors:R. B. Bapat, T. E. S. Raghavan,
Publisher: Cambridge University Press
Keywords: applications, mathematics, encyclopedia, nonnegative, matrices
Number of Pages: 356
Published: 1997-03-28
List price: $140.00
ISBN-10: 0521571677
ISBN-13: 9780521571678

This book provides an integrated treatment of the theory of nonnegative matrices and some related classes of positive matrices, concentrating on connections with game theory, combinatorics, inequalities, optimization and mathematical economics. The authors have chosen the wide variety of applications, which include price fixing, scheduling, and the fair division problem, both for their elegant mathematical content and for their accessibility to students with minimal preparation. They present many new results in matrix theory for the first time in book form, while they present more standard top

Authors:Andrzej Cichocki, Rafal Zdunek, Anh Huy Phan, Shun-ic
Publisher: Wiley
Keywords: analysis, data, blind, source, separation, way, multi, tensor, matrix, factorizations, applications, exploratory, nonnegative
Number of Pages: 500
Published: 2009-11-02
List price: $165.00
ISBN-10: 0470746661
ISBN-13: 9780470746660

This book provides a broad survey of models and efficient algorithms for Nonnegative Matrix Factorization (NMF). This includes NMF’s various extensions and modifications, especially Nonnegative Tensor Factorizations (NTF) and Nonnegative Tucker Decompositions (NTD). NMF/NTF and their extensions are increasingly used as tools in signal and image processing, and data analysis, having garnered interest due to their capability to provide new insights and relevant information about the complex latent relationships in experimental data sets. It is suggested that NMF can provide meaningful componen