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Polynomial Operator Equations: In Abstract Spaces and Applications - Couverture rigide

Argyros, Ioannis K.

 
9780849387029: Polynomial Operator Equations: In Abstract Spaces and Applications
Couverture rigide
ISBN 10 : 0849387027 ISBN 13 : 9780849387029
Editeur : CRC Press Inc, 1998

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 equations
    Tables include
  • Numerical solutions for Chandrasekhar's equation I to VI
  • Error bounds comparison
  • Accelerations schemes I and II for Newton's method
  • Newton's method
  • Secant method
    The self-contained text thoroughly details results, adds exercises for each chapter, and includes several applications for the solution of integral and differential equations throughout every chapter.

    • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l'auteur

    Argyros\, Ioannis K.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    Éditeur
    CRC Press Inc
    Date d'édition
    1998
    Langue
    anglais
    ISBN 10 
    0849387027
    ISBN 13 
    9780849387029
    Reliure
    Relié
    Nombre de pages
    573
    Coordonnées du fabricant
    non disponible
    Personne responsable
    Buchpark GmbH
    gpsr@buchpark.de

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