111,957 research outputs found

    Check, Eberhard Faber to Francis H. Ederington, December 19, 1865

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    Check from Eberhard Faber to Francis H. Ederington to pay Timber Agent John Parsons at Bayport, Florida.https://digitalcommons.usf.edu/snow/1063/thumbnail.jp

    Letter, Eberhard Faber to Francis H. Ederington, August 18, 1866

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    A letter to Francis H. Ederington from Eberhard Faber discussing annulled agreements due to a lack of fulfilling shipment promises.https://digitalcommons.usf.edu/snow/1080/thumbnail.jp

    Receipt, Eberhard Faber for Francis H. Ederington, April 17, 1866

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    Confirmation of good shipped by Eberhard Faber to Francis H. Ederington on the on Schooner Sarah Helen.https://digitalcommons.usf.edu/snow/1073/thumbnail.jp

    Letter, Eberhard Faber to Francis H. Ederington, June 21, 1866

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    A letter to Francis H. Ederington from Eberhard Faber discussing delayed shipment of goods on the Schooner Sarah Helen and the burning of 75 cedar logs.https://digitalcommons.usf.edu/snow/1077/thumbnail.jp

    Letter, Eberhard Faber to Francis H. Ederington, March 12, 1866

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    A letter from Eberhard Faber to Francis H. Ederington about goods shipped on the schooner Francis Burritt. Also included is an invoice of the goods shipped.https://digitalcommons.usf.edu/snow/1069/thumbnail.jp

    Agreement, Francis H. Ederington with Eberhard Faber, Florida Red Cedar, October 3, 1865

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    Agreement between Francis H. Ederington and Eberhard Faber regarding Florida Red Cedar, signed by both parties and T. Vaughn.https://digitalcommons.usf.edu/snow/1061/thumbnail.jp

    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

    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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