R8UT
Linear Algebra Utilities

R8UT is a C++ library which carries out some basic linear algebra operations on R8UT matrices (real 64 bit precision upper triangular format).

Licensing:

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

Languages:

R8UT 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:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Source Code:

• r8ut.cpp, the source code;
• r8ut.hpp, the include file;

Examples and Tests:

• r8ut_test.cpp, the calling program;
• r8ut_test.txt, the output file.

List of Routines:

• I4_LOG_10 returns the integer part of the logarithm base 10 of an I4.
• R8_UNIFORM_01 returns a unit pseudorandom R8.
• R8GE_PRINT prints an R8GE matrix.
• R8GE_PRINT_SOME prints some of an R8GE matrix.
• R8UT_DET computes the determinant of an R8UT matrix.
• R8UT_INDICATOR sets up an R8UT indicator matrix.
• R8UT_INVERSE computes the inverse of an R8UT matrix.
• R8UT_MM computes C = A * B, where A and B are R8UT matrices.
• R8UT_MTM computes C = A' * B, where A and B are R8UT matrices.
• R8UT_MTV multiplies an R8VEC by an R8UT matrix.
• R8UT_MV multiplies an R8UT matrix by an R8VEC.
• R8UT_PRINT prints an R8UT matrix.
• R8UT_PRINT_SOME prints some of an R8UT matrix.
• R8UT_RANDOM randomizes an R8UT matrix.
• R8UT_SL solves a linear system A*x=b with A an R8UT matrix.
• R8UT_SLT solves a transposed linear system A'*x=b with A an R8UT matrix.
• R8UT_TO_R8GE copies an R8UT matrix to an R8GE matrix.
• R8UT_ZEROS zeroes an R8UT matrix.
• R8VEC_INDICATOR1 sets an R8VEC to the indicator1 vector.
• R8VEC_PRINT prints an R8VEC.
• R8VEC_UNIFORM_01 returns a unit pseudorandom R8VEC.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

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