Title of article
Newton’s method for concave operators with resolvent positive derivatives in ordered Banach spaces Original Research Article
Author/Authors
T. Damm، نويسنده , , D. Hinrichsen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
22
From page
43
To page
64
Abstract
We prove a non-local convergence result for Newton’s method applied to a class of nonlinear equations in ordered real Banach spaces. The key tools in our approach are special notions of concavity and the spectral theory of resolvent positive operators.
Keywords
Concave operators , Riccati equation , Positive operators , Newton’s method
Journal title
Linear Algebra and its Applications
Serial Year
2003
Journal title
Linear Algebra and its Applications
Record number
823840
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