Existence and uniqueness regions for solutions of nonlinear equations
- 1 October 1978
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 19 (2) , 277-282
- https://doi.org/10.1017/s000497270000873x
Abstract
A refinement of the Newton-Kantorovich Theorem, which has many-potential applications in existence - uniqueness theory, is used to strengthen a result of Lancaster and Rokne concerning existence and uniqueness regions for zeros of operator polynomials.Keywords
This publication has 5 references indexed in Scilit:
- Solutions of Nonlinear Operator EquationsSIAM Journal on Mathematical Analysis, 1977
- A Review of Numerical Methods for Eigenvalue Problems Nonlinear in the ParameterPublished by Springer Nature ,1977
- Error bounds for the modified Newton's methodBulletin of the Australian Mathematical Society, 1976
- Operator equations and nonlinear eigenparameter problemsJournal of Functional Analysis, 1973
- The linear factorization of polynomial operator pencilsMathematical Notes, 1973