Sherman-Morrison Matrix Utilities

**R8SM**
is a MATLAB library which
carries out some basic linear algebra operations on R8SM matrices
(real 64 bit precision Sherman-Morrison A-u*v format).

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

**R8SM** is available in
a C version and
a C++ version and
a FORTRAN90 version and
a MATLAB version and
a Python version.

R83, a MATLAB library which contains linear algebra routines for R83 matrices (real, 64 bit, tridiagonal 3xN format).

R83_NP, a MATLAB library which contains linear algebra routines for R83_NP matrices (real, 64 bit, tridiagonal 3xN format, nonpivoting factorization).

R83P, a MATLAB library which contains linear algebra routines for R83P matrices (real, 64 bit, tridiagonal periodic format).

R83S, a MATLAB library which contains linear algebra routines for R83S matrices (real, 64 bit, tridiagonal scalar format).

R83T, a MATLAB library which contains linear algebra routines for R83T matrices (real, 64 bit, tridiagonal Mx3 format).

R83V, a MATLAB library which contains linear algebra routines for R83V matrices (real, 64 bit, tridiagonal three vector format).

R85, a MATLAB library which contains linear algebra routines for R85 matrices (real, 64 bit, pentadiagonal format).

R8BB, a MATLAB library which contains linear algebra routines for R8BB matrices (real, 64 bit, border banded format).

R8BLT, a MATLAB library which contains linear algebra routines for R8BLT matrices (real, 64 bit, band lower triangular format).

R8BTO, a MATLAB library which contains linear algebra routines for R8BTO matrices (real, 64 bit, block Toeplitz format).

R8BUT, a MATLAB library which contains linear algebra routines for R8BUT matrices (real, 64 bit, band upper triangular format).

R8CB, a MATLAB library which contains linear algebra routines for R8CB matrices (real, 64 bit, Compressed Band format).

R8CBB, a MATLAB library which contains linear algebra routines for R8CBB matrices (real, 64 bit, Compressed Border Banded format).

R8CC, a MATLAB library which contains linear algebra routines for R8CC matrices (real, 64 bit, Compressed Column (Colptr,Row,Value) format).

R8CI, a MATLAB library which contains linear algebra routines for R8CI matrices (real, 64 bit, circulant format).

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.

R8GB, a MATLAB library which contains linear algebra routines for R8GB matrices (real, 64 bit, General Banded format).

R8GD, a MATLAB library which contains linear algebra routines for R8GD matrices (real, 64 bit, general diagonal format).

R8GE, a MATLAB library which contains linear algebra routines for R8GE matrices (real, 64 bit, General format).

R8GE_NP, a MATLAB library which contains nonpivoting linear algebra routines for R8GE matrices (real, 64 bit, General Nonpivoting format).

R8LT, a MATLAB library which contains linear algebra routines for R8UT matrices (real, 64 bit, lower triangular format).

R8LTT, a MATLAB library which contains linear algebra routines for R8LTT matrices (real, 64 bit, lower triangular Toeplitz format).

R8NCF, a MATLAB library which contains linear algebra routines for R8NCF matrices (real, 64 bit, nonsymmetric coordinate format).

R8PBL, a MATLAB library which contains linear algebra routines for R8PBL matrices (real, 64 bit, positive definite symmetric band lower format).

R8PBU, a MATLAB library which contains linear algebra routines for R8PBU matrices (real, 64 bit, positive definite symmetric band upper format).

R8PO, a MATLAB library which contains linear algebra routines for R8PO matrices (real, 64 bit, positive definite symmetric format).

R8PP, a MATLAB library which contains linear algebra routines for R8PP matrices (real, 64 bit, positive definite symmetric packed format).

R8RI, a MATLAB library which contains linear algebra routines for R8RI matrices (real, 64 bit, row indexed format).

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.

R8S3, a MATLAB library which contains linear algebra routines for R8S3 matrices (real, 64 bit, SLAP Triad (I,J,AIJ) format).

R8SD, a MATLAB library which contains linear algebra routines for R8SD matrices (real, 64 bit, symmetric diagonal format).

R8SP, a MATLAB library which contains linear algebra routines for R8SP matrices (real, 64 bit, SLAP Triad (I,J,AIJ) format).

R8SR, a MATLAB library which carries out linear algebra operations for R8SR matrices (real, 64 bit, diagonal + compressed row offdiagonal format).

R8SS, a MATLAB library which carries out linear algebra operations for R8SS matrices (real, 64 bit, symmetric skyline format).

R8STO, a MATLAB library which contains linear algebra routines for R8STO matrices (real, 64 bit, symmetric Toeplitz N format).

R8TO, a MATLAB library which contains linear algebra routines for R8TO matrices (real, 64 bit, Toeplitz 2*N-1 format).

R8UT, a MATLAB library which contains linear algebra routines for R8UT matrices (real, 64 bit, upper triangular format).

R8UTT, a MATLAB library which contains linear algebra routines for R8UTT matrices (real, 64 bit, upper triangular Toeplitz format).

R8VM, a MATLAB library which contains linear algebra routines for R8VM matrices (real, 64 bit, Vandermonde format).

- i4_log_10.m, returns the integer part of the logarithm base 10 of an I4;
- r8_uniform_01.m, returns a unit pseudorandom R8;
- r8ge_fa.m, factors an R8GE matrix;
- r8ge_ml.m, multiplies an R8GE matrix factored by R8GE_FA times a vector;
- r8ge_print.m, prints an R8GE matrix;
- r8ge_print_some.m, prints some of an R8GE matrix;
- r8ge_sl.m, solves a linear system factored by R8GE_FA;
- r8sm_indicator.m, returns the indicator matrix as an R8SM matrix.
- r8sm_indicator_test.m
- r8sm_ml.m, multiplies an R8SM matrix that has been factored by R8GE_FA times a vector;
- r8sm_ml_test.m
- r8sm_mtv.m, multiplies a vector times an R8SM matrix;
- r8sm_mtv_test.m
- r8sm_mv.m, multiplies an R8SM matrix times a vector;
- r8sm_mv_test.m
- r8sm_print.m, prints an R8SM matrix;
- r8sm_print_test.m
- r8sm_print_some.m, prints some of an R8SM matrix;
- r8sm_print_some_test.m
- r8sm_random.m, randomizes an R8SM matrix;
- r8sm_random_test.m
- r8sm_sl.m, solves an R8SM linear system;
- r8sm_sl_test.m
- r8sm_to_r8ge.m, copies an R8SM matrix to an R8GE matrix;
- r8sm_to_r8ge_test.m
- r8sm_zeros.m, zeros an R8SM matrix;
- r8sm_zeros_test.m
- r8vec_indicator1.m, sets an R8VEC to the indicator vector;
- r8vec_print.m, prints an R8VEC;
- r8vec2_print_some.m, prints some of a pair of R8VEC's.
- timestamp.m, prints the current YMDHMS date as a timestamp;

- r8sm_test.m, calls all the tests.
- r8sm_test_output.txt, the output file.

You can go up one level to the MATLAB source codes.