Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/6031
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Chen, X | - |
dc.creator | Nashed, Z | - |
dc.creator | Qi, L | - |
dc.date.accessioned | 2014-12-11T08:28:07Z | - |
dc.date.available | 2014-12-11T08:28:07Z | - |
dc.identifier.issn | 0036-1429 (print) | - |
dc.identifier.issn | 1095-7170 (online) | - |
dc.identifier.uri | http://hdl.handle.net/10397/6031 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | ©2000 Society for Industrial and Applied Mathematics | en_US |
dc.subject | Smoothing methods | en_US |
dc.subject | Semismooth methods | en_US |
dc.subject | Superlinear convergence | en_US |
dc.subject | Nondifferentiable operator equation | en_US |
dc.subject | Nonsmooth elliptic partial differential equations | en_US |
dc.title | Smoothing methods and semismooth methods for nondifferentiable operator equations | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 1200 | - |
dc.identifier.epage | 1216 | - |
dc.identifier.volume | 38 | - |
dc.identifier.issue | 4 | - |
dc.identifier.doi | 10.1137/S0036142999356719 | - |
dcterms.abstract | We consider superlinearly convergent analogues of Newton methods for nondifferentiable operator equations in function spaces. The superlinear convergence analysis of semismooth methods for nondifferentiable equations described by a locally Lipschitzian operator in R[sup n] is based on Rademacher's theorem which does not hold in function spaces. We introduce a concept of slant differentiability and use it to study superlinear convergence of smoothing methods and semismooth methods in a unified framework. We show that a function is slantly differentiable at a point if and only if it is Lipschitz continuous at that point. An application to the Dirichlet problems for a simple class of nonsmooth elliptic partial differential equations is discussed. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on numerical analysis, 2000, v. 38, no. 4, p. 1200-1216 | - |
dcterms.isPartOf | SIAM Journal on numerical analysis | - |
dcterms.issued | 2000 | - |
dc.identifier.isi | WOS:000165318700008 | - |
dc.identifier.scopus | 2-s2.0-0034432264 | - |
dc.identifier.rosgroupid | r00434 | - |
dc.description.ros | 2000-2001 > Academic research: refereed > Publication in refereed journal | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Chen_Smoothing_Methods_Semismooth.pdf | 189.98 kB | Adobe PDF | View/Open |
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