R8GE
General Storage Matrix Utilities

R8GE, a MATLAB library which carries out some basic linear algebra operations on R8GE matrices (real 64 bit precision general MxN format).

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

R8GE is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.

Related Data and Programs:

R8COL, a MATLAB library which contains utility routines for R8COL's, that is, double precision real MxN arrays, considered as N column vectors, each of length M. The data may be thought of as a matrix of multiple columns, and many operations will be carried out columnwise.

r8ge_test

R8ROW, a MATLAB library which contains utility routines for R8ROW's, that is, double precision real MxN arrays, considered as M row vectors, each of length N. The data may be thought of as a matrix of multiple rows, and many operations will be carried out rowwise.

Source Code:

• i4_log_10.m, returns the integer part of the logarithm base 10 of abs(X);
• i4vec_print.m, prints an I4VEC;
• r8_sign.m, returns the sign of a double precision number;
• r8_uniform_01.m, is a uniform random number generator;
• r8ge_cg.m, applies the conjugate gradient method to a linear system stored as an R8GE matrix.
• r8ge_co.m, factors an R8GE matrix and estimates its condition number;
• r8ge_det.m, computes the determinant of a factored R8GE matrix;
• r8ge_dif2.m, returns the second difference matrix as an R8GE matrix;
• r8ge_dilu.m, produces the diagonal incomplete LU factor of an R8GE matrix;
• r8ge_fa.m, factors an R8GE matrix;
• r8ge_fs.m, factors and solves an R8GE system;
• r8ge_fss.m, factors and solves multiple R8GE systems;
• r8ge_hilbert.m, returns the Hilbert matrix as an R8GE matrix;
• r8ge_hilbert_inverse.m, returns the inverse of the Hilbert matrix as an R8GE matrix;
• r8ge_identity.m, copies the identity matrix to an R8GE matrix;
• r8ge_ilu.m, produces the incomplete LU factors of an R8GE matrix;
• r8ge_indicator.m, returns an R8GE indicator matrix;
• r8ge_inverse.m, returns the inverse of an R8GE matrix;
• r8ge_ml.m, multiplies an R8GE matrix factored by R8GE_FA times a vector;
• r8ge_mm.m, multiplies two R8GE matrices;
• r8ge_mtm.m, computes C=A'*B for R8GE matrices;
• r8ge_mtv.m, multiplies a vector times an R8GE matrix;
• r8ge_mu.m, multiplies an R8GE matrix factored by R8GE_TRF times a vector;
• r8ge_mv.m, multiplies an R8GE matrix times a vector;
• r8ge_plu.m, produces the PLU factors of an R8GE matrix;
• r8ge_poly.m, computes the characteristic polynomial of an R8GE matrix;
• r8ge_print.m, prints an R8GE matrix;
• r8ge_print_some.m, prints some of an R8GE matrix;
• r8ge_random.m, returns a random R8GE matrix;
• r8ge_res.m, computes the residual of an R8GE linear system;
• r8ge_sl.m, solves a linear system factored by R8GE_FA;
• r8ge_sl_it.m, applies one step of iterative refinement to a factored linear system;
• r8ge_to_r8vec.m, converts an R8GE matrix to an R8VEC;
• r8ge_transpose_print.m, prints the transpose of an R8GE matrix;
• r8ge_transpose_print_some.m, prints some of the transpose of an R8GE matrix;
• r8ge_trf.m, factors an R8GE matrix;
• r8ge_trs.m, solves a system factored by R8GE_TRF;
• r8ge_zeros.m, zeros out space for an R8GE matrix.
• r8vec_indicator1.m, sets an R8VEC to the indicator1 vector;
• r8vec_print.m, prints an R8VEC;
• r8vec_print_some.m, prints some of an R8VEC;
• r8vec_to_r8ge.m, converts an R8VEC to an R8GE matrix;
• r8vec_uniform_01.m, returns a unit pseudorandom R8VEC.
• r8vec2_print_some.m, prints some of a pair R8VEC's;
• timestamp.m, prints the current YMDHMS date as a timestamp;