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Differential equations  Functional analysis  Differential equations, Partial  Iterative methods (Mathematics)  Approximation theory.  Improperly posed problems.  Iterative methods (Mathematics).  Improperly posed problems in partial differential equations  Theory of approximation  Functions  Polynomials  Chebyshev systems  Iteration (Mathematics)  Numerical analysis  Illposed problems
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Numerical analysis  Mathematical physics  Mathematical optimization  Iterative methods (Mathematics)  Decomposition (Mathematics)  Decomposition method  517  Optimization (Mathematics)  Optimization techniques  Optimization theory  Systems optimization  Mathematical analysis  Maxima and minima  Operations research  Simulation methods  System analysis  Iteration (Mathematics)  Method, Decomposition  Programming (Mathematics)  Analysis  517 Analysis  Economics, Mathematical  Mathématiques économiques  Mathématiques économiques.  Analyse numérique.
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Numerical methods of optimisation  Mathematical optimization  Nonlinear programming  Iterative methods (Mathematics)  681.3*G16  Programming (Mathematics)  Optimization (Mathematics)  Optimization techniques  Optimization theory  Systems optimization  Mathematical analysis  Maxima and minima  Operations research  Simulation methods  System analysis  Iteration (Mathematics)  Numerical analysis  Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis)  Mathematical optimization.  Nonlinear programming.  Iterative methods (Mathematics).  681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis)
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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 (Mathematics)  Numerical solutions of algebraic equations  519.61  681.3*G13  519.61 Numerical methods of algebra  Numerical methods of algebra  681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems  Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems  Linear systems.  Itération (Mathématiques)  Systèmes linéaires  Linear systems  Systems, Linear  Differential equations, Linear  System theory  Iteration (Mathematics)  Numerical analysis
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Numerical solutions of algebraic equations  Iterative methods (Mathematics)  Equations  Numerical solutions.  Iterative methods (Mathematics)  519.6  681.3*G13  Iteration (Mathematics)  Numerical analysis  Algebra  Mathematics  Numerical solutions  Computational mathematics. Numerical analysis. Computer programming  Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems  681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems  519.6 Computational mathematics. Numerical analysis. Computer programming  Graphic methods  Iterative methods (Mathematics).  Algebras, Linear  Algèbre linéaire  Analyse numérique  Itération (mathématiques)  Algèbre linéaire.  Analyse numérique.
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Numerical solutions of algebraic equations  Numerical methods of optimisation  Equations, Simultaneous  Iterative methods (Mathematics)  Linear systems  Systèmes d'équations  Itération (Mathématiques)  Systèmes linéaires  519.6  681.3*G13  Systems, Linear  Differential equations, Linear  System theory  Iteration (Mathematics)  Numerical analysis  Simultaneous equations  Computational mathematics. Numerical analysis. Computer programming  Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems  Equations, Simultaneous.  Linear systems.  Iterative methods (Mathematics).  681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems  519.6 Computational mathematics. Numerical analysis. Computer programming  Systèmes d'équations  Itération (Mathématiques)  Systèmes linéaires  Monograph
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Iterative methods (Mathematics)  519.61  681.3*G13  Numerical methods of algebra  Numerical linear algebra: conditioning determinants eigenvalues and eigenvectors error analysis linear systems matrix inversion pseudoinverses singular value decomposition sparse, structured, and very large systems (direct and iterative methods)  519.61 Numerical methods of algebra  #TCPW N1.0  681.3*G1  Iteration (Mathematics)  681.3*G1 Numerical analysis  519.6  Numerical analysis  519.6 Computational mathematics. Numerical analysis. Computer programming  Computational mathematics. Numerical analysis. Computer programming  Numerical linear algebra: conditioning; determinants; eigenvalues and eigenvectors; error analysis; linear systems; matrix inversion; pseudoinverses; singular value decomposition; sparse, structured, and very large systems (direct and iterative methods)  Itération (Mathématiques)
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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 selfstudy, or a reference. Iterative Methods for Optimization does more than cover traditional gradientbased 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.
Programming  Numerical analysis  Computer science  Mathematical optimization  Iterative methods (Mathematics)  519.86  519.68  #TELE:SISTA  519.6  681.3 *G18  Theory of economicmathematical models  Computer programming  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)  Mathematical optimization.  Iterative methods (Mathematics).  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  519.68 Computer programming  519.86 Theory of economicmathematical models  Optimization (Mathematics)  Optimization techniques  Optimization theory  Systems optimization  Mathematical analysis  Maxima and minima  Operations research  Simulation methods  System analysis  Iteration (Mathematics)
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Numerical solutions of algebraic equations  Iterative methods (Mathematics)  Itération (Mathématiques)  519.6  681.3*G13  681.3*G15  Iteration (Mathematics)  Numerical analysis  Computational mathematics. Numerical analysis. Computer programming  Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems  Roots of nonlinear equations: convergence; error analysis; iterative methods;polynomials (Numerical analysis)  Iterative methods (Mathematics).  681.3*G15 Roots of nonlinear equations: convergence; error analysis; iterative methods;polynomials (Numerical analysis)  681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems  519.6 Computational mathematics. Numerical analysis. Computer programming  Itération (Mathématiques)  Algebras, Linear  Algèbre linéaire  Analyse numérique  Itération (mathématiques)  Algèbre linéaire.  Analyse numérique.
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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; integrodifferential equations; Volterra equations (Numerical analysis)  681.3*G19 Integral equations: Fredholm equations; integrodifferential 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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