A Posteriori Analysis of the Crout Method in Solving Linear Algebraic Systems,
Abstract
In solving a system of linear algebraic equations A(x sup 0) = b where A is an n by n non-singular matrix and b is an n-vector, the Crout variation of the Gaussian elimination methods enables one to determine directly the components of a unit-diagonal lower triangular matrix (L sup 0) and an upper one (U sup 0) so that A = (L sup 0) (U sup 0). The solution vector (x sup 0) can then be obtained by solving the system (L sup 0) (U sup0) (x sup 0) = b in the sequence (L sup 0) (Y sup 0) = b and (U sup 0) (x sup 0) = (y sup 0). (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1972
- Accession Number
- AD0751254
Entities
People
- Nai-kuan Tsao
Organizations
- Air Force Research Laboratory