On Pointwise and Analytic Similarity of Matrices.
Abstract
The matrix problem considered in this paper arises when studying systems of ordinary differential equations in boundary-layer situations. A simple example is the behavior of solutions of epsilon y plus py' plus gy = 0 (*) as epsilon approaches 0. In the general situation, a system of first order equations is considered, A(epsilon)y' plus Cy = 0, where A,B are n x n matrices. The first step is to simplify the system using a similarity transformation, i.e., we set A = (1/T)z and multiply through by T, replacing the system by TA(epsilon)(1/T)x' plus TC(1/T)x = 0. The matrix T is chosen so as to simplify the coefficient of the derivative.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1979
- Accession Number
- ADA068866
Entities
People
- Shmuel Friedland
Organizations
- University of Wisconsin–Madison