Test Procedure - Linear Equation Routines.
Abstract
The general test procedure is to apply each candidate routine to a number of test problems (with known answers) and to record the resulting accuracy and execution time. It is assumed that each candidate routine can solve the problem AX=B where: A is a general n x n coefficient matrix, B is a general n x m right-hand-side matrix, and X is an n x m solution matrix. If B is set equal to the n x n identity matrix I (so that m = n), then X will be an approximation to 1/A. The accuracy achieved can be measured by computing the norm of the residual matrix R = AX - I (or R = XA - I) or better, by computing the norm of the error matrix E = X - 1/A. This approach is used in order to avoid having to solve the first equation repeatedly using various right-hand sides B for each test matrix A. Execution time is measured by the system clock. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1975
- Accession Number
- ADA063473
Entities
People
- L. W. Lucas
Organizations
- Naval Air Weapons Station China Lake