R8VM
Linear Algebra Utilities

R8VM is a C++ library which carries out some basic linear algebra operations on R8VM matrices (real 64 bit precision Vandermonde format).

Licensing:

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

Languages:

R8VM 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 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).

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).

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).

Source Code:

• r8vm.cpp, the source code;
• r8vm.hpp, the include file;

Examples and Tests:

• r8vm_test.cpp, the calling program;
• r8vm_test.txt, the output file.

List of Routines:

• 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_FACTORIAL computes the factorial of N.
• R8_UNIFORM_01 returns a unit pseudorandom R8.
• R8GE_PRINT prints an R8GE matrix.
• R8GE_PRINT_SOME prints some of an R8GE matrix.
• R8VEC_INDICATOR1_NEW sets an R8VEC to the indicator1 vector {1,2,3...}.
• R8VEC_PRINT prints an R8VEC.
• R8VEC_PRINT_SOME prints "some" of an R8VEC.
• R8VEC_UNIFORM_01_NEW returns a unit pseudorandom R8VEC.
• R8VM_DET computes the determinant of an R8VM matrix.
• R8VM_INDICATOR sets an R8VM indicator matrix.
• R8VM_INDICATOR_DET returns the determinant of an R8VM indicator matrix.
• R8VM_MTV multiplies a vector times an R8VM matrix.
• R8VM_MV multiplies an R8VM matrix times a vector.
• R8VM_PRINT prints an R8VM matrix.
• R8VM_PRINT_SOME prints some of an R8VM matrix.
• R8VM_RANDOM randomizes an R8VM matrix.
• R8VM_SL solves an R8VM system.
• R8VM_SL_NEW solves an R8VM system.
• R8VM_SLT solves A'*x=b where A is an R8VM matrix.
• R8VM_SL_NEW solves A'*x=b, where A is an R8VM matrix.
• R8VM_TO_R8GE copies an R8VM matrix to an R8GE matrix.
• R8VM_ZEROS zeros an R8VM matrix.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

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