Scientific Computing

This module illustrates the use of modified Gram-Schmidt orthogonalization to compute the QR factorization of a matrix.

The user first selects a matrix size, then selects a matrix
** A** by choosing a preset example, a random matrix, or
typing in desired entries. The successive steps of modified
Gram-Schmidt QR factorization are then carried out sequentially by
repeatedly clicking on NEXT or on the currently highlighted step. The
current column is indicated by an arrow. After the current column is
normalized, the component in the current column is subtracted from each
of the succeeding columns. The resulting orthonormalized columns,
which form

**Reference:** Michael T. Heath, *Scientific Computing,
An Introductory Survey*, 2nd edition, McGraw-Hill, New York,
2002. See Section 3.5.3, especially Algorithm 3.3 and Example 3.11.

**Developers:** Jessica Schoen and Michael Heath