matmul


matmul, a FORTRAN77 code which compares various methods for computing the matrix product


        A * B = C.
      

The code can do this for a variety of matrix sizes, and for different arithmetics (real, complex, double precision, integer, even logical!) There are many algorithms built in, including the simple triple DO loop (actually not so simple; there are 6 ways to set it up), some unrolling techniques, and the level 1 and 2 BLAS routines.

The code is interactive, so the user can easily pursue any line of inquiry that seems promising. New algorithms or locally available methods are not to hard to add.

Licensing:

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

Languages:

matmul is available in a C version and a FORTRAN77 version and a FORTRAN90 version.

Related Data and Programs:

matmul_test

linpack_bench, a FORTRAN77 program which measures the time needed to factor and solve a linear system.

MDBNCH, a FORTRAN77 program which is a benchmark code for a molecular dynamics calculation.

MEMORY_TEST, a FORTRAN90 program which declares and uses a sequence of larger and larger vectors, to see how big a vector can be used on a given machine and compiler.

MXM, a FORTRAN77 program which sets up a matrix multiplication problem A=B*C of arbitrary size, and compares the time required for IJK, IKJ, JIK, JKI, KIJ and KJI orderings of the loops.

NAS, a FORTRAN77 program which runs the NASA kernel benchmark.

SUM_MILLION, a FORTRAN77 program which sums the integers from 1 to 1,000,000, as a demonstration of how to rate a computer's speed;

TIMER, a FORTRAN77 program which demonstrates how to compute CPU time or elapsed time.

Reference:

  1. John Burkardt, Paul Puglielli,
    Pittsburgh Supercomputing Center,
    MATMUL: An Interactive Matrix Multiplication Benchmark

Source Code:


Last revised on 24 October 2023.