MXM
Matrix-Matrix Multiplication Timings

MXM is a MATLAB program which sets up a matrix-matrix multiplication problem A = B * C, and carries it out using

• Nested DO I, J, K loops;
• Nested DO I, K, J loops;
• Nested DO J, I, K loops;
• Nested DO J, K, I loops;
• Nested DO K, I, J loops;
• Nested DO K, J, I loops;
• the MATLAB "star" operator: A = B * C;

The user is allowed to specify N1, N2, and N3, which define the matrix sizes.

Usage:

mxm n1 n2 n3

• n1 is the number of rows in B.
• n2 is the number of columns in B and rows in C.
• n3 is the number of columns in C;

Licensing:

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

Languages:

MXM is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

LINPACK_BENCH, a MATLAB program which measures the time needed to factor and solve a "large" (N=1000) dense linear system of equations, and is used as a benchmark.

MXV, a MATLAB program which compares the performance of (DO I, DO J) loops, (DO J, DO I ) loops, and MATMUL for computing the product of an MxN matrix A and an N vector X.

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

TIMER, MATLAB programs which demonstrate 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:

• mxm.m, the source code.

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