Matrix Multiplication

**MXM_SERIAL**,
a C++ program which
sets up a dense matrix multiplication problem C = A * B.

The matrices A and B are chosen so that C = (N+1) * I, where N is the order of A and B, and I is the identity matrix.

MXM_SERIAL is intended as a starting point for the implementation of a parallel version, using, for instance, OpenMP.

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

**MXM_SERIAL** is available in
a C version and
a C++ version and
a FORTRAN90 version.

FFT_SERIAL, a C++ program which demonstrates the computation of a Fast Fourier Transform, and is intended as a starting point for implementing a parallel version.

FIRE_SERIAL, a C++ program which simulates a forest fire over a rectangular array of trees, starting at a single random location. It is intended as a starting point for the development of a parallel version.

HEATED_PLATE, a C++ program which solves the steady (time independent) heat equation in a 2D rectangular region, and is intended as a starting point for implementing a parallel version.

MD, a C++ program which carries out a molecular dynamics simulation, and is intended as a starting point for implementing a parallel version.

MXM_OPENMP, a C++ program which computes a dense matrix product C=A*B, using OpenMP for parallel execution.

POISSON_SERIAL, a C++ program which computes an approximate solution to the Poisson equation in a rectangle, and is intended as the starting point for the creation of a parallel version.

PRIME_SERIAL, a C++ program which counts the number of primes between 1 and N, intended as a starting point for the creation of a parallel version.

QUAD_SERIAL, a C++ program which approximates an integral using a quadrature rule, and is intended as a starting point for parallelization exercises.

SEARCH_SERIAL, a C++ program which searches the integers from A to B for a value J such that F(J) = C. this version of the program is intended as a starting point for a parallel approach.

SUBSET_SUM_SERIAL, a C++ program which seeks solutions of the subset sum problem, in which it is desired to find a subset of a set of integers which has a given sum; this version of the program is intended as a starting point for a parallel approach.

- mxm_serial.cpp, the source code.
- mxm_serial.sh, compiles the source code.