Accession Number:

ADA063473

Title:

Test Procedure - Linear Equation Routines.

Descriptive Note:

Technical memo.,

Corporate Author:

NAVAL WEAPONS CENTER CHINA LAKE CALIF

Personal Author(s):

• Lucas,L. W.

Report Date:

1975-03-01

Pagination or Media Count:

35.0

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 AXB 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 1A. 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 - 1A. 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

Descriptors:

• *MATRICES(MATHEMATICS)
• *COMPUTER PROGRAMMING
• COMPUTER PROGRAM DOCUMENTATION
• COMPARISON
• TIME
• FORTRAN
• ERROR ANALYSIS
• SUBROUTINES
• LINEAR DIFFERENTIAL EQUATIONS

Subject Categories:

• Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE