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Numerical analysis --- acceleration of convergence --- 519.6 --- 681.3*G1 --- Computational mathematics. Numerical analysis. Computer programming --- Series. --- Continued fractions. --- Acceleration of convergence. --- 681.3*G1 Numerical analysis --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Analyse numérique --- Acceleration of convergence --- Accélération de la convergence --- Accélération de la convergence. --- Analyse numérique. --- Numerical analysis. --- Analyse numérique --- Accélération de la convergence --- Numerical analysis - acceleration of convergence --- Convergence

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Numerical analysis --- Computer science

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Computer science --- Numerical approximation theory --- Numerical analysis --- Algorithms --- Algorithmes --- Acceleration of convergence --- Data processing --- Computer algorithms --- 519.6 --- Computational mathematics. Numerical analysis. Computer programming --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Mathematical analysis --- Acceleration of convergence&delete& --- Analyse numérique --- Accélération de la convergence --- Accélération de la convergence. --- Numerical analysis - Acceleration of convergence - Data processing

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Orthogonal polynomials --- Congresses. --- 51 --- 51 Mathematics --- Mathematics --- Mathematical analysis --- Harmonic analysis. Fourier analysis

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The solutions of systems of linear and nonlinear equations occurs in many situations and is therefore a question of major interest. Advances in computer technology has made it now possible to consider systems exceeding several hundred thousands of equations. However, there is a crucial need for more efficient algorithms.

The main focus of this book (except the last chapter, which is devoted to systems of nonlinear equations) is the consideration of solving the problem of the linear equation Ax = b by an iterative method. Iterative methods for the solution of this question are described which are based on projections. Recently, such methods have received much attention from researchers in numerical linear algebra and have been applied to a wide range of problems.

The book is intended for students and researchers in numerical analysis and for practitioners and engineers who require the most recent methods for solving their particular problem.

Lineaire vergelijkingen. --- Projectiemethoden (wiskunde) --- Equations, Simultaneous --- Iterative methods (Mathematics) --- Itération (Mathématiques) --- Numerical solutions. --- -Iterative methods (Mathematics) --- #TELE:SISTA --- 519.6 --- 681.3*G13 --- Iteration (Mathematics) --- Numerical analysis --- Simultaneous equations --- 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 --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Equations, Simultaneous - Numerical solutions.