Totally Nonnegative Matrices: 35 (Princeton Series in Applied Mathematics) - Tapa blanda

Libro 12 de 33: Princeton Series in Applied Mathematics

Fallat, Shaun M.; Johnson, Charles R.

 
9780691242415: Totally Nonnegative Matrices: 35 (Princeton Series in Applied Mathematics)
Tapa blanda
ISBN 10: 0691242410 ISBN 13: 9780691242415
Editorial: Princeton University Press, 2022

Sinopsis

Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics.

The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Shaun M. Fallat is professor of mathematics and statistics at the University of Regina. Charles R. Johnson is the Class of 1961 Professor of Mathematics at the College of William & Mary.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Princeton University Press
Año de publicación
2022
Idioma
Inglés
ISBN 10 
0691242410
ISBN 13 
9780691242415
Encuadernación
Tapa blanda
Número de páginas
264
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780691121574: Totally Nonnegative Matrices: 35 (Princeton Series in Applied Mathematics)

Edición Destacada

ISBN 10:  0691121575 ISBN 13:  9780691121574
Editorial: Princeton University Press, 2011
Tapa dura