Totally Nonnegative Matrices

Totally Nonnegative Matrices

Charles R. Johnson / Shaun M. Fallat

91,50 €
IVA incluido
Disponible
Editorial:
Princeton University Press
Año de edición:
2011
ISBN:
9780691121574
91,50 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Perelló (Valencia)
  • Librería Aciertas (Toledo)
  • El AlmaZen del Alquimista (Sevilla)
  • Librería Elías (Asturias)
  • Librería Kolima (Madrid)
  • Donde los libros
  • Librería Proteo (Málaga)

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.

Artículos relacionados

  • Seven Eyes Open
    Alexander J B Connor
    A study of the Revelation of Jesus Christ. (Why you will not burn in eternal torment and why it is more important than ever not to be spiritually lukewarm.)The final book of the New Testament, the “Revelation of Jesus Christ” is reinterpreted in this book that mixes college level abstract algebra with the scripture text of the Bible (the King James Version).Whether the interpre...
  • MATH DUDE’S QUICK AND DIRTY GUIDE T
    Jason Marshall
    ...
    Disponible

    20,74 €

  • Final Exam Review
    A. A. Frempong / AAFrempong
    Final Exam Review: Elementary Algebra covers the following: Signed Number and Real Number Operations; Order of Operations and Evaluation of Expressions; Exponential Notation and Rules of Exponents; Polynomial addition, subtraction, multiplication, and division; Solving First Degree Equations;Word Problems; Factoring Polynomials; Solving quadratic equations by factoring & applic...
    Disponible

    37,52 €

  • FUNCTION FIELD ARITHMETIC
    DINESH S THAKUR
     This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of ...
    Disponible

    219,34 €

  • Essays about Modern Algebra
    Franz Rothe
    The geometric construction of the regular 17, 257 and even the 65 537-gon are given in complete details, including programming codes. The theory of geometrical constructions and its connection to Galois theory is treated in detail. Later parts deal with totally positive real numbers as sums of squares, cyclotomic polynomials,Chebychev polynomials, Gaussian periods, Galois theor...
    Disponible

    32,70 €

  • ADVANCED LINEAR ALGEBRA
    SHOU-TE CHANG
    Certain essential concepts in linear algebra cannot be fully explained in a first course. This is due to a lack of algebraic background for most beginning students. On the other hand, these concepts are taken for granted in most of the mathematical courses at graduate school level. This book will provide a gentle guidance for motivated students to fill the gap. It is not easy t...
    Disponible

    105,60 €