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  • 1
    Electronic Resource
    Electronic Resource
    Convergence of sequential and asynchronous nonlinear paracontractions (1992)
    Springer
    Numerische Mathematik 62 (1992), S. 305-319 
    Details
    ISSN: 0945-3245
    Keywords: MSC 1991 ; 65F10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We establish the convergence of sequential and asynchronous iteration schemes for nonlinear paracontracting operators acting in finite dimensional spaces. Applications to the solution of linear systems of equations with convex constraints are outlined. A first generalization of one of our convergence results to an infinite pool of asymptotically paracontracting operators is also presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01396232
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  • 2
    Electronic Resource
    Electronic Resource
    On matrices that admit unitary reduction to band form (1998)
    Springer
    Mathematical notes 64 (1998), S. 753-760 
    Details
    ISSN: 1573-8876
    Keywords: Hermitean matrix ; unitary matrix ; band form of a matrix ; unitary reduction ; Krylov sequence ; Lanczos procedure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract It is proved in the paper that any low rank perturbation of a Hermitian matrix is unitarily reducible to band form. Moreover, if a normal matrix is unitarily reducible to band form, then any of its rank one perturbations is unitarily reducible as well.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02313033
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    Paper (German National Licenses)
    Fulltext
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