Polynomial Operator Equations in Abstract Spaces and Applications - Softcover

Argyros, Ioannis K.

 
9780367447878: Polynomial Operator Equations in Abstract Spaces and Applications
Softcover
ISBN 10: 0367447878 ISBN 13: 9780367447878
Publisher: CRC Press, 2020

Synopsis

Polynomial operators are a natural generalization of linear operators. Equations in such operators are the linear space analog of ordinary polynomials in one or several variables over the fields of real or complex numbers. Such equations encompass a broad spectrum of applied problems including all linear equations. Often the polynomial nature of many nonlinear problems goes unrecognized by researchers. This is more likely due to the fact that polynomial operators - unlike polynomials in a single variable - have received little attention. Consequently, this comprehensive presentation is needed, benefiting those working in the field as well as those seeking information about specific results or techniques.
Polynomial Operator Equations in Abstract Spaces and Applications - an outgrowth of fifteen years of the author's research work - presents new and traditional results about polynomial equations as well as analyzes current iterative methods for their numerical solution in various general space settings.
Topics include:

  • Special cases of nonlinear operator equations
  • Solution of polynomial operator equations of positive integer degree n
  • Results on global existence theorems not related with contractions
  • Galois theory
  • Polynomial integral and polynomial differential equations appearing in radiative transfer, heat transfer, neutron transport, electromechanical networks, elasticity, and other areas
  • Results on the various Chandrasekhar equations
  • Weierstrass theorem
  • Matrix representations
  • Lagrange and Hermite interpolation
  • Bounds of polynomial equations in Banach space, Banach algebra, and Hilbert space
    The materials discussed can be used for the following studies
  • Advanced numerical analysis
  • Numerical functional analysis
  • Functional analysis
  • Approximation theory
  • Integral and differential equation

    • "synopsis" may belong to another edition of this title.

    About the Author

    Argyros, Ioannis K.

    "About this title" may belong to another edition of this title.

    Publisher
    CRC Press
    Publication date
    2020
    Language
    English
    ISBN 10 
    0367447878
    ISBN 13 
    9780367447878
    Binding
    Paperback
    Edition number
    1
    Number of pages
    586

    Other Popular Editions of the Same Title

    9780849387029: Polynomial Operator Equations in Abstract Spaces and Applications: in Abstract Spaces and Applications

    Featured Edition

    ISBN 10:  0849387027 ISBN 13:  9780849387029
    Publisher: CRC Press, 1998
    Hardcover