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Index for K25104\LinearSystems ![]() |
![]() | Solves the upper triangular system of equations Ax = b |
![]() | Usage example for Backward |
![]() | Implements basic power method to find an eigenvector of A, |
![]() | Usage example for basic_power |
![]() | Computes the Cholesky factorization of A |
![]() | Usage example for Cholesky |
![]() | Implements method of conjugate gradients |
![]() | Usage example for conjugate_gradient |
![]() | Usage example for conjugate_gradient |
![]() | Given an nxn matrix and eigenvector, performs deflation |
![]() | Usage example for deflation_alt_1 |
![]() | Given an nxn matrix A which has a 2-dimensional eigenspace |
![]() | Usage example for deflation_alt_2 |
![]() | Given an nxn matrix and eigenvector, performs deflation |
![]() | Usage example for deflation_Householder_1 |
![]() | Given an nxn matrix A which has a 2-dimensional eigenspace |
![]() | Usage example for deflation_Householder_2 |
![]() | Solves the lower triangular system of equations Ax = b |
![]() | Usage example for Forward |
![]() | Solves the linear system Ax=b iteratively using the Gauss-Seidel method. |
![]() | Usage example for Gauss_Seidel |
![]() | Performs elementary Gaussian elimination (no pivoting) on A |
![]() | Usage example for Gaussian_elementary |
![]() | Performs Gaussian elimination with partial pivoting on A |
![]() | Usage example for Gaussian_partial |
![]() | Performs Gaussian elimination with scaled partial pivoting on A |
![]() | Usage example for Gaussian_scaledpartial |
![]() | Performs Gaussian elimination with total pivoting on A to |
![]() | Usage example for Gaussian_total |
![]() | Applies one Givens rotation to place a zero in the (i,j)th entry of A. |
![]() | Usage example for Givens |
![]() | Computes the QR factorization of A via the Gram-Schmidt process |
![]() | Usage example for Gram_Schmidt |
![]() | Introduces zeros to the column vector v below the kth element |
![]() | Usage example for Householder |
![]() | Implements inverse iteration to find an eigenvalue of A |
![]() | Usage example for inverse_iteration |
![]() | Calculates the iteration matrix and its eigenvalues |
![]() | Usage example for iteration_analysis |
![]() | Solves the linear system Ax=b iteratively by Jacobi method. |
![]() | Usage example for Jacobi |
![]() | Computes the LU factorization |
![]() | Computes the LU factorization on banded matrix A |
![]() | Usage example for LU_banded |
![]() | Computes the LU factorization with partial pivoting |
![]() | Usage example for LU_pivot |
![]() | Usage example for LU |
![]() | Computes the QR factorization of A via Givens rotations |
![]() | Usage example for QR_Givens |
![]() | Computes the QR factorization of A via Givens rotations |
![]() | Usage example for QR_Givens_zeros |
![]() | Computes the QR factorization of A via Householder reflections |
![]() | Usage example for QR_Householder_1 |
![]() | Computes the QR factorization of A via Householder reflections |
![]() | Usage example for QR_Householder_2 |
![]() | Performs QR algorithm to deflate matrix A, |
![]() | Usage example for QRalg_Givens |
![]() | Usage example for QRalg_Givens |
![]() | Performs QR algorithm to deflate matrix A, |
![]() | Usage example for QRalg_Householder |
![]() | Usage example for QRalg_Householder |
![]() | Implements power method with shifts to find an eigenvector of A, |
![]() | Usage example for shifted_power |
![]() | Implements method of steepest descent to find the solution of Ax=b. |
![]() | Usage example for steepest_descent |
![]() | Usage example for steepest_descent |
![]() | Implements method of transformed, preconditioned conjugate gradients |
![]() | Usage example for transformed_preconditioned_CG |
![]() | Implements 2-stage power method to find a complex conjugate pair |
![]() | Usage example for twostage_power |
![]() | Implements method of untransformed, preconditioned conjugate gradients |
![]() | Usage example for untransformed_preconditioned_CG |