Continuous regularized Gauss-Newton-type algorithm for nonlinear ill-posed equations with simultaneous updates of inverse derivative

Simple item page
dc.creatorRamm, Alexander G.
dc.creatorSmirnova, Alexandra B.
dc.date2001-03-28
dc.date.accessioned2026-07-07T04:28:22Z
dc.date.available2026-07-07T04:28:22Z
dc.descriptionA new continuous regularized Gauss-Newton-type method with simultaneous updates of the operator $(F^{\pr*}(x(t))F'(x(t))+\ep(t) I)^{-1}$ for solving nonlinear ill-posed equations in a Hilbert space is proposed. A convergence theorem is proved. An attractive and novel feature of the proposed method is the absence of the assumptions about the location of the spectrum of the operator $F'(x)$. The absence of such assumptions is made possible by a source-type condition.
dc.description10pp
dc.identifierhttps://arxiv.org/abs/math-ph/0103042
dc.identifierhttp://arxiv.org/abs/math-ph/0103042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56763
dc.subjectMathematical Physics
dc.subject65J15, 58C15, 47H17
dc.titleContinuous regularized Gauss-Newton-type algorithm for nonlinear ill-posed equations with simultaneous updates of inverse derivative
dc.typetext

Files

Collections

arXiv