Matches in SemOpenAlex for { <https://semopenalex.org/work/W2491749209> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2491749209 abstract "In 1975, T. A. Manteuffel developed a method for the iterative solution of a non-symmetric linear system, Ax = b, when the eigenvalues have positive real parts. The iterative parameters are reciprocals of the roots of a scaled and translated Chebyshev polynomial and depend upon an ellipse enclosing the spectrum of the system matrix.In some applications, a matrix will occur whose spectrum is not well-approximated by an ellipse. In this thesis, a method is developed to determine optimal iteration parameters for use in a complex version of Richardson's iteration for a spectrum contained in any simply-connected bounded open set (in practice, a polygon symmetric with respect to the real axis).The proposed method is a generalization of algorithms found in a 1958 paper of E. L. Stiefel in which real orthogonal polynomials were used. In this thesis, Stiefel's work is extended to complex orthogonal and bi-orthogonal polynomials. In addition, numerical methods are developed to obtain the desired iteration parameters by means of least squares theory.Results are presented which show that the methods of this thesis compare favorably to Manteuffel's method and the Lanczos algorithm for test matrices whose spectra had pre-determined shapes." @default.
- W2491749209 created "2016-08-23" @default.
- W2491749209 creator A5091868444 @default.
- W2491749209 date "1982-01-01" @default.
- W2491749209 modified "2023-09-23" @default.
- W2491749209 title "Optimum semi-iterative methods for the solution of any linear algebraic system with a square matrix" @default.
- W2491749209 hasPublicationYear "1982" @default.
- W2491749209 type Work @default.
- W2491749209 sameAs 2491749209 @default.
- W2491749209 citedByCount "3" @default.
- W2491749209 crossrefType "journal-article" @default.
- W2491749209 hasAuthorship W2491749209A5091868444 @default.
- W2491749209 hasConcept C101044782 @default.
- W2491749209 hasConcept C106487976 @default.
- W2491749209 hasConcept C11413529 @default.
- W2491749209 hasConcept C119256216 @default.
- W2491749209 hasConcept C121332964 @default.
- W2491749209 hasConcept C126352355 @default.
- W2491749209 hasConcept C129785596 @default.
- W2491749209 hasConcept C134306372 @default.
- W2491749209 hasConcept C158693339 @default.
- W2491749209 hasConcept C159694833 @default.
- W2491749209 hasConcept C159985019 @default.
- W2491749209 hasConcept C192562407 @default.
- W2491749209 hasConcept C196512905 @default.
- W2491749209 hasConcept C20501136 @default.
- W2491749209 hasConcept C2524010 @default.
- W2491749209 hasConcept C28826006 @default.
- W2491749209 hasConcept C33923547 @default.
- W2491749209 hasConcept C62520636 @default.
- W2491749209 hasConcept C74261601 @default.
- W2491749209 hasConcept C90119067 @default.
- W2491749209 hasConceptScore W2491749209C101044782 @default.
- W2491749209 hasConceptScore W2491749209C106487976 @default.
- W2491749209 hasConceptScore W2491749209C11413529 @default.
- W2491749209 hasConceptScore W2491749209C119256216 @default.
- W2491749209 hasConceptScore W2491749209C121332964 @default.
- W2491749209 hasConceptScore W2491749209C126352355 @default.
- W2491749209 hasConceptScore W2491749209C129785596 @default.
- W2491749209 hasConceptScore W2491749209C134306372 @default.
- W2491749209 hasConceptScore W2491749209C158693339 @default.
- W2491749209 hasConceptScore W2491749209C159694833 @default.
- W2491749209 hasConceptScore W2491749209C159985019 @default.
- W2491749209 hasConceptScore W2491749209C192562407 @default.
- W2491749209 hasConceptScore W2491749209C196512905 @default.
- W2491749209 hasConceptScore W2491749209C20501136 @default.
- W2491749209 hasConceptScore W2491749209C2524010 @default.
- W2491749209 hasConceptScore W2491749209C28826006 @default.
- W2491749209 hasConceptScore W2491749209C33923547 @default.
- W2491749209 hasConceptScore W2491749209C62520636 @default.
- W2491749209 hasConceptScore W2491749209C74261601 @default.
- W2491749209 hasConceptScore W2491749209C90119067 @default.
- W2491749209 hasLocation W24917492091 @default.
- W2491749209 hasOpenAccess W2491749209 @default.
- W2491749209 hasPrimaryLocation W24917492091 @default.
- W2491749209 hasRelatedWork W1503638082 @default.
- W2491749209 hasRelatedWork W1998445033 @default.
- W2491749209 hasRelatedWork W2000793353 @default.
- W2491749209 hasRelatedWork W2011886482 @default.
- W2491749209 hasRelatedWork W2014909878 @default.
- W2491749209 hasRelatedWork W2023488486 @default.
- W2491749209 hasRelatedWork W2028717422 @default.
- W2491749209 hasRelatedWork W2069520119 @default.
- W2491749209 hasRelatedWork W2075039801 @default.
- W2491749209 hasRelatedWork W2087494851 @default.
- W2491749209 hasRelatedWork W2094876285 @default.
- W2491749209 hasRelatedWork W2100215729 @default.
- W2491749209 hasRelatedWork W2116794940 @default.
- W2491749209 hasRelatedWork W2216892805 @default.
- W2491749209 hasRelatedWork W2288919352 @default.
- W2491749209 hasRelatedWork W2379678815 @default.
- W2491749209 hasRelatedWork W2439252858 @default.
- W2491749209 hasRelatedWork W258983306 @default.
- W2491749209 hasRelatedWork W2760526428 @default.
- W2491749209 hasRelatedWork W2789822513 @default.
- W2491749209 isParatext "false" @default.
- W2491749209 isRetracted "false" @default.
- W2491749209 magId "2491749209" @default.
- W2491749209 workType "article" @default.