capytaine.matrices package

Submodules

• capytaine.matrices.block module
  • BlockMatrix
    • BlockMatrix.access_block_by_path()
    • BlockMatrix.all()
    • BlockMatrix.all_blocks
    • BlockMatrix.any()
    • BlockMatrix.astype()
    • BlockMatrix.block_shapes
    • BlockMatrix.density
    • BlockMatrix.display_color
    • BlockMatrix.dtype
    • BlockMatrix.fft_of_list()
    • BlockMatrix.full_matrix()
    • BlockMatrix.matmat()
    • BlockMatrix.matvec()
    • BlockMatrix.max()
    • BlockMatrix.min()
    • BlockMatrix.ndim
    • BlockMatrix.no_toeplitz()
    • BlockMatrix.plot_shape()
    • BlockMatrix.rmatvec()
    • BlockMatrix.sparcity
    • BlockMatrix.stored_data_size
    • BlockMatrix.str_shape
• capytaine.matrices.block_toeplitz module
  • BlockCirculantMatrix
    • BlockCirculantMatrix.block_diagonalize()
    • BlockCirculantMatrix.matvec()
    • BlockCirculantMatrix.rmatvec()
  • BlockSymmetricToeplitzMatrix
    • BlockSymmetricToeplitzMatrix.circulant_super_matrix
  • BlockToeplitzMatrix
    • BlockToeplitzMatrix.all_blocks
    • BlockToeplitzMatrix.block_shape
    • BlockToeplitzMatrix.block_shapes
    • BlockToeplitzMatrix.circulant_super_matrix
    • BlockToeplitzMatrix.matvec()
    • BlockToeplitzMatrix.rmatvec()
  • EvenBlockSymmetricCirculantMatrix
  • OddBlockSymmetricCirculantMatrix
• capytaine.matrices.builders module
  • cut_matrix()
  • full_like()
  • identity_like()
  • ones_like()
  • random_block_matrix()
  • zeros_like()
• capytaine.matrices.linear_solvers module
  • Counter
  • LUSolverWithCache
    • LUSolverWithCache.cached_lu_decomp()
    • LUSolverWithCache.lu_decomp()
    • LUSolverWithCache.solve()
    • LUSolverWithCache.solve_with_decomp()
  • gmres_no_fft()
  • solve_directly()
  • solve_gmres()
  • solve_precond_gmres()
• capytaine.matrices.low_rank module
  • LowRankMatrix
    • LowRankMatrix.astype()
    • LowRankMatrix.density
    • LowRankMatrix.from_full_matrix_with_ACA()
    • LowRankMatrix.from_full_matrix_with_SVD()
    • LowRankMatrix.from_function_with_ACA()
    • LowRankMatrix.from_rows_and_cols_functions_with_ACA()
    • LowRankMatrix.from_rows_and_cols_functions_with_multi_ACA()
    • LowRankMatrix.full_matrix()
    • LowRankMatrix.ndim
    • LowRankMatrix.recompress()
    • LowRankMatrix.sparcity
    • LowRankMatrix.stored_data_size
  • NoConvergenceOfACA

Module contents

This module implements several classes describing matrices defined by blocks. These matrices can be nested to recursively define Hierarchical matrices.