Abstract
We approximate in isolated solution of a compact operator equations using the solutions of a family of collectively compact operator equations.
Highlights
We study the quadratic equotion* l)epartment of Mathematics, New Ntexico State University
We assume in the first part of this paper that solutions of the family of quadratic equations y+O(x),n n where {Q}, n = 1,2, ... n are collectively compact and the Q converge n pointwise to Q are known
If ( 1) is nonsingular, (2) is uniquely sol vable for sufficiently large n and the approximate solutions converge to the true solution [1]
Summary
* l)epartment of Mathematics, New Ntexico State University. We assume in the first part of this paper that solutions of the family of quadratic equations. N are collectively compact and the Q converge n pointwise to Q are known. We use these solutions to approximate a solutio" of ( 1). If ( 1) is nonsingular, (2) is uniquely sol vable for sufficiently large n and the approximate solutions converge to the true solution [1]. (2) has a unique solution in a neighn borhood of on isolated solution of ( 1) l·+' n is sufficiently large and these s0lutions converge to the isolated solution [8].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
