Ioannis K. Argyros
Springer New York
2008e druk, 2008
9780387727417
Convergence and Applications of Newton-type Iterations
Specificaties
Gebonden, 56 blz.
|
Engels
Springer New York |
2008e druk, 2008
ISBN13: 9780387727417
Rubricering
Verwachte levertijd ongeveer 8 werkdagen
Samenvatting
This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semi-local convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Accompanied by many exercises, some with solutions, the book may be used as a supplementary text in the classroom for an advanced course on numerical functional analysis.
Specificaties
ISBN13:9780387727417
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:56
Uitgever:Springer New York
Druk:2008
Inhoudsopgave
Operators and Equations.- The Newton Kantorovich (NK) Method.- Applications of the Weaker Version of the NK Theorem.- Special Methods.- Newton-like Methods.- Analytic Computational Complexity We Are Concerned with the Choice of Initial Approximations.- Variational Inequalities.- Convergence Involving Operators with Outer or Generalized Inverses.- Convergence on Generalized Banach Spaces: Improving Error Bounds and Weakening of Convergence Conditions.- Point to Set Mappings.- The Newton Kantorovich Theorem and Mathematical Programming.