Gmm++ User Documentation

• Introduction
• How to install and use GMM++
• Matrix and Vector type provided by GMM++
• • dense vectors
  • sparse vectors
  • skyline vectors
  • generic row and column matrices
  • dense matrices
  • sparse matrices
• Input and output with Harwell-Boeing and Matrix Market formats
• sub-vectors and sub-matrices
• • row and column of a matrix
• miscellaneous methods
• Basic linear algebra operations
• • scale and scaled
  • transposition
  • imaginary and real part
  • conjugate
  • add
  • mult
  • norms
  • trace
  • scalar product
• Solving triangular systems
• Dense LU decomposition
• Dense QR factorisation, eigenvalues and eigenvectors
• Condition number estimation
• Iterative solvers
• • iterations
  • various solvers
  • various preconditioners
  • Additive Schwarz method
• Catch errors
• Interface with BLAS, LAPACK or ATLAS
• Interface with SuperLU
• How to use GMM++ with QD type (double-double and quad-double)
• First steps with GMM++
• • How can I invert a matrix ?
  • How can I solve a linear system ?
  • How can I transform a vector into a matrix and reshape it ?
  • What is the better way to resize a matrix ?
• Deeper inside GMM++
• • The linalg_traits structure
  • How to iterate on the components of a vector
  • How to iterate on a matrix
  • How to make your algorithm working on all type of matrices
• How to disable verifications
• References
• Index

Index

• ATLAS
• errors
• gmm::add
• gmm::bicgstab
• gmm::cg
• gmm::clean
• gmm::clear
• gmm::col_matrix<VECT>
• gmm::condest
• gmm::conjugated
• gmm::constrained_cg
• gmm::csc_matrix<T>
• gmm::csr_matrix<T>
• gmm::dense_matrix<T>
• gmm::diagonal_precond
• gmm::fill_random
• gmm::gmres
• gmm::ilutp_precond
• gmm::ilut_precond
• gmm::ilu_precond
• gmm::imag_part
• gmm::implicit_qr_algorithm(M, eigval, tol)
• gmm::iteration
• gmm::mat_col(M, i)
• gmm::mat_const_col(M, i)
• gmm::mat_const_row(M, i)
• gmm::mat_ncols(M)
• gmm::mat_ncols(M)
• gmm::mat_norm2(M)
• gmm::mat_norminf(M)
• gmm::mat_nrows(M)
• gmm::mat_nrows(M)
• gmm::mat_row(M, i)
• gmm::mat_trace(M)
• gmm::mr_approx_inverse_precond
• gmm::mult
• gmm::mult_add
• gmm::nnz(V)
• gmm::nsorted_sub_index(c)
• gmm::qmr
• gmm::qr_factor(M, Q, R)
• gmm::real_part
• gmm::reshape(M, m, n)
• gmm::resize(M, m, n)
• gmm::resize(V, n)
• gmm::row_matrix<VECT>
• gmm::rsvector<T>
• gmm::scale
• gmm::scaled
• gmm::slvector<T>
• gmm::sub_index(c)
• gmm::sub_interval(first, length)
• gmm::sub_matrix(V, subi1, subi2)
• gmm::sub_slice(first, length, step)
• gmm::sub_vector(V, subi)
• gmm::symmetric_qr_algorithm(M, eigval, tol)
• gmm::transposed
• gmm::vect_dist2(V1, V2)
• gmm::vect_hp(V1, V2)
• gmm::vect_norm1(V)
• gmm::vect_norm2(V)
• gmm::vect_norminf(V)
• gmm::vect_size(V)
• gmm::vect_sp(V1, V2)
• gmm::write
• gmm::wsvector<T>
• Harwell-Boeing format
• Install
• LAPACK
• linalg_traits
• Matrix Market format
• std::vector<T>

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