ISSN:
1588-2829
Keywords:
Primary 65F10
;
Secondary 47B55
;
Linear perturbed equations in partially ordered spaces
;
monotonically enclosing methods
;
computation of initial vectors
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In a partially ordered space, the method xn+1 = L+x n + − N+x n - − L−y+ + N− y n - + r, yn+1 = N+y+ − L+y n - − N−x n + + L−x− + t of successive approximation is developed in order to enclose the solutions of a set of linear fixed point equations monotonously. The method works if only the inequalities x0 ≤ y0, x0 ≤ x1, y1 ≤ y0 related to the starting elements are satisfied. In finite-dimensional spaces suitable starting vectors can be computed if a sufficiently good approximation for the fixed points is known.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01848094
Permalink
