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517.9 --- Differential equations --- Equations, Simultaneous --- Simultaneous equations --- Equations, Differential --- Bessel functions --- Calculus --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Differential equations. --- Equations, Simultaneous. --- 517.91 Differential equations --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 517.91. --- Numerical solutions --- 517.91

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Iterative methods (Mathematics) --- Equations, Simultaneous --- Numerical solutions --- Simultaneous equations --- 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 --- 681.3*G13 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Iteration (Mathematics) --- Numerical analysis --- Iterative methods (Mathematics). --- Numerical solutions. --- Itération (Mathématiques) --- Equations, Simultaneous - Numerical solutions

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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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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.

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Fixed point theory --- Equations, Simultaneous --- Economics, Mathematical --- Programming (Mathematics) --- Congresses --- -Equations, Simultaneous --- -Fixed point theory --- -Programming (Mathematics) --- -510.5 --- 517.983 --- Fixed point theorems (Topology) --- Coincidence theory (Mathematics) --- Simultaneous equations --- Linear operators. Linear operator equations --- 517.983 Linear operators. Linear operator equations --- 510.5 --- 519.6 --- 519.8 --- 681.3*G1 --- 681.3*G1 Numerical analysis --- Numerical analysis --- 519.8 Operational research --- Operational research --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 510.5 Algorithms. Computable functions --- Algorithms. Computable functions --- Planning (firm) --- Congresses. --- Fixed point theory - Congresses --- Equations, Simultaneous - Congresses --- Economics, Mathematical - Congresses --- Programming (Mathematics) - Congresses