Matches in SemOpenAlex for { <https://semopenalex.org/work/W3024562068> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W3024562068 abstract "Abstract We give a factorization formula to least-squares projection schemes, from which new convergence conditions together with formulas estimating the rate of convergence can be derived. We prove that the convergence of the method (including the rate of convergence) can be completely determined by the principal angles between <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:msup> <m:mi>T</m:mi> <m:mo>†</m:mo> </m:msup> <m:mo></m:mo> <m:mi>T</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:msub> <m:mi>X</m:mi> <m:mi>n</m:mi> </m:msub> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:math> {T^{dagger}T(X_{n})} and <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:msup> <m:mi>T</m:mi> <m:mo>*</m:mo> </m:msup> <m:mo></m:mo> <m:mi>T</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:msub> <m:mi>X</m:mi> <m:mi>n</m:mi> </m:msub> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:math> {T^{*}T(X_{n})} , and the principal angles between <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:msub> <m:mi>X</m:mi> <m:mi>n</m:mi> </m:msub> <m:mo>∩</m:mo> <m:msup> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mrow> <m:mrow> <m:mi mathvariant=script>𝒩</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>T</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> <m:mo>∩</m:mo> <m:msub> <m:mi>X</m:mi> <m:mi>n</m:mi> </m:msub> </m:mrow> <m:mo stretchy=false>)</m:mo> </m:mrow> <m:mo>⊥</m:mo> </m:msup> </m:mrow> </m:math> {X_{n}cap(mathcal{N}(T)cap X_{n})^{perp}} and <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mrow> <m:mrow> <m:mi mathvariant=script>𝒩</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>T</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> <m:mo>+</m:mo> <m:msub> <m:mi>X</m:mi> <m:mi>n</m:mi> </m:msub> </m:mrow> <m:mo stretchy=false>)</m:mo> </m:mrow> <m:mo>∩</m:mo> <m:mrow> <m:mi mathvariant=script>𝒩</m:mi> <m:mo></m:mo> <m:msup> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>T</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> <m:mo>⊥</m:mo> </m:msup> </m:mrow> </m:mrow> </m:math> {(mathcal{N}(T)+X_{n})capmathcal{N}(T)^{perp}} . At the end, we consider several specific cases and examples to further illustrate our theorems." @default.
- W3024562068 created "2020-05-21" @default.
- W3024562068 creator A5041013363 @default.
- W3024562068 creator A5044937811 @default.
- W3024562068 date "2020-04-15" @default.
- W3024562068 modified "2023-09-24" @default.
- W3024562068 title "A Factorization of Least-Squares Projection Schemes for Ill-Posed Problems" @default.
- W3024562068 cites W140355911 @default.
- W3024562068 cites W1570089119 @default.
- W3024562068 cites W1575147392 @default.
- W3024562068 cites W1982042384 @default.
- W3024562068 cites W1990718912 @default.
- W3024562068 cites W1996326731 @default.
- W3024562068 cites W2008095986 @default.
- W3024562068 cites W2026040860 @default.
- W3024562068 cites W2039418213 @default.
- W3024562068 cites W2044222847 @default.
- W3024562068 cites W2050818690 @default.
- W3024562068 cites W2066549325 @default.
- W3024562068 cites W2169021366 @default.
- W3024562068 cites W2246161698 @default.
- W3024562068 cites W2405515784 @default.
- W3024562068 cites W297194445 @default.
- W3024562068 cites W4231391020 @default.
- W3024562068 cites W4248856345 @default.
- W3024562068 cites W63662626 @default.
- W3024562068 cites W651323857 @default.
- W3024562068 cites W969953982 @default.
- W3024562068 doi "https://doi.org/10.1515/cmam-2019-0173" @default.
- W3024562068 hasPublicationYear "2020" @default.
- W3024562068 type Work @default.
- W3024562068 sameAs 3024562068 @default.
- W3024562068 citedByCount "0" @default.
- W3024562068 crossrefType "journal-article" @default.
- W3024562068 hasAuthorship W3024562068A5041013363 @default.
- W3024562068 hasAuthorship W3024562068A5044937811 @default.
- W3024562068 hasConcept C11413529 @default.
- W3024562068 hasConcept C114614502 @default.
- W3024562068 hasConcept C121332964 @default.
- W3024562068 hasConcept C187834632 @default.
- W3024562068 hasConcept C33923547 @default.
- W3024562068 hasConceptScore W3024562068C11413529 @default.
- W3024562068 hasConceptScore W3024562068C114614502 @default.
- W3024562068 hasConceptScore W3024562068C121332964 @default.
- W3024562068 hasConceptScore W3024562068C187834632 @default.
- W3024562068 hasConceptScore W3024562068C33923547 @default.
- W3024562068 hasLocation W30245620681 @default.
- W3024562068 hasOpenAccess W3024562068 @default.
- W3024562068 hasPrimaryLocation W30245620681 @default.
- W3024562068 hasRelatedWork W10284890 @default.
- W3024562068 hasRelatedWork W1525806 @default.
- W3024562068 hasRelatedWork W2682055 @default.
- W3024562068 hasRelatedWork W3097767 @default.
- W3024562068 hasRelatedWork W3281307 @default.
- W3024562068 hasRelatedWork W5049203 @default.
- W3024562068 hasRelatedWork W5176254 @default.
- W3024562068 hasRelatedWork W9466781 @default.
- W3024562068 hasRelatedWork W9924976 @default.
- W3024562068 hasRelatedWork W11648009 @default.
- W3024562068 isParatext "false" @default.
- W3024562068 isRetracted "false" @default.
- W3024562068 magId "3024562068" @default.
- W3024562068 workType "article" @default.