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Ill-posed problems with a priori information
Authors: --- ---
ISBN: 906764191X 9789067641913 3110900114 Year: 1995 Publisher: Utrecht, The Netherlands : VSP BV,


Book
Sur les méthodes numériques en sciences physiques et économiques
Authors: ---
ISBN: 204009945X Year: 1974 Volume: 4 Publisher: Paris Bruxelles Montréal : Dunod,

Iterative Krylov methods for large linear systems
Authors: --- ---
ISBN: 0521818281 9780521818285 051106134X 9780511061349 0511069804 9780511069802 9780511615115 0511615116 1107135400 1280434570 9786610434572 0511179006 113914863X 0511055013 051130613X Year: 2003 Volume: v. 13 Publisher: Cambridge ; New York : Cambridge University Press,

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Abstract

Based on extensive teaching by the author, this book presents an overview of a number of Krylov projection methods for the solution of linear systems of equations. There are a large number of references for further reading as well as exercises to help students as they first encounter the material.

Iterative methods for optimization
Authors: ---
ISBN: 0898714338 9780898714333 Year: 1999 Publisher: Philadelphia (Pa.): SIAM

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This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley's book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hooke& Jeeves, implicit filtering, MDS, and Nelder& Mead schemes in a unified way.

Iterative methods for linear and nonlinear equations
Author:
ISBN: 0898713528 Year: 1995 Volume: 16 Publisher: Philadelphia : Society for Industrial and Applied Mathematics,

Projection-Iterative methods for solution of operator equations
Authors: --- ---
ISBN: 0821815962 Year: 1976 Publisher: Providence (R.I.): American Mathematical Society

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Keywords

Operator theory --- Iterative methods (Mathematics) --- Operator equations --- 517.983 --- 519.6 --- 681.3 *G18 --- 681.3*G17 --- 681.3*G19 --- Equations, Operator --- Differential equations, Partial --- Iteration (Mathematics) --- Numerical analysis --- Linear operators. Linear operator equations --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 681.3*G19 Integral equations: Fredholm equations; integro-differential equations; Volterra equations (Numerical analysis) --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.983 Linear operators. Linear operator equations --- Équations à opérateurs. --- Analyse numérique. --- Équations à opérateurs. --- Analyse numérique. --- Analyse fonctionnelle non linéaire --- Nonlinear functional analysis --- Analyse fonctionnelle non linéaire.

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