The collection of commonly used numerical algorithms in Visual C++ has nearly 200 Visual C++ sub-processes commonly used in numerical calculations, including: solving linear algebraic equations, interpolation, numerical integration, special functions, function approximation, random numbers, sorting, eigenvalue problems, data simulation Combination, root finding of equations and solution of nonlinear equations, extreme value and optimization of functions, Beaulieu transform spectral method, statistical description of data, solution of ordinary differential equations. Solution of two-point boundary value problem and solution of system of partial differential equations. Each sub-process includes five parts: function, method, instructions, process and example. All sub-processes in this book have been verified on Visual C++ 6.0 version, and the programs can run correctly. It also comes with a CD, including all sub-processes, verification processes and Visual C++ project projects of all verification processes. Basic introduction Chapter 1 Solution method of linear algebraic equations 1.1 All-pivot Gauss-Jordan elimination method 1.2 LU decomposition method 1.3 Chase method 1.4 Solution method of five-diagonal linear equations 1.5 Iterative improvement of solutions to linear equations 1.6 Solution method of Vandermonde equations 1.7 Solution method of Toeplitz equations 1.8 Singular value decomposition 1.9 Conjugate gradient method of linear equations 1.1 Cholesky decomposition method of symmetric equations 1.11 QR decomposition of matrix 1.12 relaxation iteration method
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