paper

Elliptic Quadratic Operator Equations

arXiv:1701.01990

Abstract

In the present paper is devoted to the study of elliptic quadratic operator equations over the finite dimensional Euclidean space. We provide necessary and sufficient conditions for the existence of solutions of elliptic quadratic operator equations. The iterative Newton-Kantorovich method is also presented for stable solutions.

36 pages

Elliptic Quadratic Operator Equations · wovepaper