R83T is a C++ library which carries out some basic linear algebra operations on R83T matrices (real 64 bit precision tridiagonal Mx3 format).
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
R83T is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
R83, a C++ library which contains linear algebra routines for R83 matrices (real, 64 bit, tridiagonal 3xN format).
R83_NP, a C++ library which contains linear algebra routines for R83_NP matrices (real, 64 bit, tridiagonal 3xN format, nonpivoting factorization).
R83P, a C++ library which contains linear algebra routines for R83P matrices (real, 64 bit, tridiagonal periodic 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).
R8CI, a C++ library which contains linear algebra routines for R8CI matrices (real, 64 bit, circulant format).
R8COL, a C++ 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 C++ library which contains linear algebra routines for R8GB matrices (real, 64 bit, General Banded 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).
R8GE_NP, a C++ library which contains nonpivoting linear algebra routines for R8GE_NP matrices (real, 64 bit, General Nonpivoting format).
R8LT, a C++ library which contains linear algebra routines for R8UT 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).
R8PBU, a C++ library which contains linear algebra routines for R8PBU matrices (real, 64 bit, positive definite symmetric band upper format).
R8PO, a C++ library which contains linear algebra routines for R8PO matrices (real, 64 bit, positive definite symmetric format).
R8PP, a C++ library which contains linear algebra routines for R8PP matrices (real, 64 bit, positive definite symmetric packed format).
R8RI, a C++ library which contains linear algebra routines for R8RI matrices (real, 64 bit, row indexed format).
R8ROW, a C++ 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 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).
R8SM, a C++ library which contains linear algebra routines for R8SM (Sherman-Morrison) matrices (real, 64 bit, A-u*v' format).
R8SP, a C++ library which contains linear algebra routines for R8SP matrices (real, 64 bit, SLAP Triad (I,J,AIJ) format).
R8SR, a C++ library which carries out linear algebra operations for R8SR matrices (real, 64 bit, diagonal + compressed row offdiagonal 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).
R8UT, a C++ library which contains linear algebra routines for R8UT matrices (real, 64 bit, upper triangular 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).
- r83t_prb.cpp a sample calling program.
- r83t_prb_output.txt, the output file.
- I4_LOG_10 returns the integer part of the logarithm base 10 of an I4.
- I4_MAX returns the maximum of two I4's.
- I4_MIN returns the smaller of two I4's.
- I4_POWER returns the value of I^J.
- R8_UNIFORM_01 returns a unit pseudorandom R8.
- R83T_CG uses the conjugate gradient method on an R83T system.
- R83T_DIF2 returns the DIF2 matrix in R83T format.
- R83T_GS_SL solves an R83T system using Gauss-Seidel iteration.
- R83T_INDICATOR sets the indicator matrix in R83T format.
- R83T_JAC_SL solves an R83T system using Jacobi iteration.
- R83T_MTV multiplies an R83T matrix transposed times an R8VEC.
- R83T_MV multiplies an R83T matrix times a vector.
- R83T_PRINT prints an R83T matrix.
- R83T_PRINT_SOME prints some of an R83T matrix.
- R83T_RANDOM returns a random R83T matrix.
- R83T_RES computes the residual R = B-A*X for R83T matrices.
- R83T_TO_R8GE copies an R83T matrix to an R8GE matrix.
- R83T_ZEROS zeros an R83T matrix.
- R8GE_MTV multiplies a vector times an R8GE matrix.
- R8GE_MV multiplies an R8GE matrix times a vector.
- R8GE_PRINT prints an R8GE matrix.
- R8GE_PRINT_SOME prints some of an R8GE matrix.
- R8VEC_DOT_PRODUCT computes the dot product of a pair of R8VEC's.
- R8VEC_INDICATOR1_NEW sets an R8VEC to the indicator1 vector {1,2,3...}.
- R8VEC_NORM returns the L2 norm of an R8VEC.
- R8VEC_NORM_AFFINE returns the affine L2 norm of an R8VEC.
- R8VEC_PRINT prints an R8VEC.
- R8VEC_UNIFORM_01_NEW returns a unit pseudorandom R8VEC.
- R8VEC2_PRINT prints an R8VEC2.
- TIMESTAMP prints the current YMDHMS date as a time stamp.
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Last revised on 29 May 2016.