Five Matrix Inversion Methods Implementation
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This documentation presents five MATLAB-implemented matrix inversion programs designed to enhance computational efficiency in matrix operations. Each program is optimized for specific matrix types including symmetric matrices, triangular matrices, and diagonal matrices. The implementation incorporates advanced algorithms such as LU decomposition for general matrices, Cholesky decomposition for symmetric positive-definite matrices, and specialized inversion methods for triangular matrices that leverage forward/backward substitution techniques. The accompanying documentation provides detailed explanations of key MATLAB functions including inv(), chol(), and lu(), along with algorithm complexity analysis and practical usage examples. Users can easily perform matrix inversion operations and customize the code to accommodate specific matrix computation requirements through parameter modifications and algorithm adjustments.
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