10,268 research outputs found

    The Faber polynomials for annular sectors and an application to the iterative solution of linear systems of equations

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    A conformal mapping of the exterior of the unit circle to the exterior of a region of the complex plane determines the Faber polynomials for that region. These polynomials are of interest in providing near-optimal polynomial approximations in a wide variety of contexts. The work of this thesis concerns the Faber polynomials for an annular sector {z : R ≤ |z| ≤ 1,0 ≤ | arg z| ≤ π}, with 0 < 0 < π and is contained in two main parts. In the first part the required conformal map is derived, and the first few Faber polynomials for the annular sector are given in terms of the transfinite diameter, p, of the region and two parameters a and b. These three numbers are determined numerically. We also give the Faber series for 1/z and improve upon a bound given in the literature for the norm of the Faber projection, ||xn||- In the second part of the thesis we give a new hybrid method for the iterative solution of linear systems of equations, Ax = b, where the coefficient matrix, A, is large, sparse, nonsingular and non-Hermitian. The method begins with a few steps of the Arnoldi method to produce some information on the location of the spectrum of A. Our method then switches to an iterative method based on the Faber polynomials for an annular sector placed around these eigenvalue estimates. An annular sector is thought to be a useful region because it can be scaled and rotated to enclose any eigenvalue estimates bounded away from zero. Some examples will be exhibited and we will compare existing methods with ours

    A numerical method for the computation of faber polynomials for starlike domains

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    We describe a simple numerical process (based on the Theodorsen method for conformal mapping ) for computing approximations to Faber polynomials for starlike domains

    Die Seligkeit der Gerechten

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    Fingerprint nach Ex. der HAB Wolfenbüttel und der ULB Sachsen-AnhaltVorlageform des Erscheinungsvermerks: Magdeburg, druckts Christian Leberecht Faber, Königl. privil. Buchdr.Stammtaf. (Kupferst.)1Portr. (Kupferst.

    Street, P. — The Crab and its Relatives. Faber and Faber, London, 1966

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    Monod Théodore. Street, P. — The Crab and its Relatives. Faber and Faber, London, 1966. In: La Terre et La Vie, Revue d'Histoire naturelle, tome 20, n°4, 1966. p. 470

    Generazione Faber

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    l programma "Generazione Faber" assegna borse a disoccupati o inoccupati residenti in Sardegna e in possesso di un diploma o di una laurea che desiderino realizzare i propri progetti di sperimentazione avvalendosi del FabLab (Fabrication Laboratory) di Sardegna Ricerche. I progetti potranno consistere nello sviluppo di un prototipo o di un processo, nella creazione di oggetti di design, in attività di digital fabrication o nel riutilizzo di oggetti di produzione industriale. Potranno inoltre riguardare qualsiasi tematica, ma dovranno necessariamente individuare soluzioni a problemi tecnici o risposte a esigenze realmente avvertite dalla collettività.Finanziamenti::Fondi Sardegna Ricerch

    Approximation by pp-Faber-Laurent rational functions in the weighted Lebesgue spaces

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    summary:Let LCL\subset C be a regular Jordan curve. In this work, the approximation properties of the pp-Faber-Laurent rational series expansions in the ω\omega weighted Lebesgue spaces Lp(L,ω)L^p(L,\omega ) are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a kkth integral modulus of continuity in Lp(L,ω)L^p(L,\omega ) spaces is estimated

    The death of William Golding: authorship and creativity in darkness visible and the paper men

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    In the seventies and eighties William Golding was deeply responsive to the critical, anti-authorial ethos that followed the publication of Roland Barthes's "La mort de I'auteur" (1968). In Darkness Visible (1979) and The Paper Men (1984) he investigates means by which to reaffirm authorial presence. Working through paradox, he performs the authorial death in these novels, and establishes language’s inadequacy as a means of conveying absolute meaning, authorial "vision," truth or revelation. Having done so he nonetheless gestures towards the divine, towards the possibility of a vatic communication. In this manner the novels work upon principles of contradiction and collapse. What remains is a discourse of hope, promise, desire, without means of substantiating such optimism. Thus Golding might be said to have practiced a form of negative theology, and to have anticipated in this respect some recent trends in literary theory

    Promissory Notes, Francis H. Ederington and Eberhard Faber to C.L. Frible, P.G. Wall to Francis H. Ederington, August 18, 1866

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    Two promissory notes; one from Francis H. Ederington and Eberhard Faber to C.L. Frible, and another from P.G. Wall to Francis H. Ederington.https://digitalcommons.usf.edu/snow/1079/thumbnail.jp
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