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Fast Compact Algorithms and Software for Spline Smoothing

  • Book
  • © 2013

Overview

Authors:
  1. Howard L. Weinert

    1. , Department of Electrical and, Johns Hopkins University, BALTIMORE, USA

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Part of the book series: SpringerBriefs in Computer Science (BRIEFSCOMPUTER)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Introduction

    • Howard L. Weinert
    Pages 1-4

  3. Cholesky Algorithm

    • Howard L. Weinert
    Pages 5-18

  4. QR Algorithm

    • Howard L. Weinert
    Pages 19-28

  5. FFT Algorithm

    • Howard L. Weinert
    Pages 29-35

  6. Discrete Spline Smoothing

    • Howard L. Weinert
    Pages 37-45
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Keywords

About this book

Fast Compact Algorithms and Software for Spline Smoothing investigates algorithmic alternatives for computing cubic smoothing splines when the amount of smoothing is determined automatically by minimizing the generalized cross-validation score. These algorithms are based on Cholesky factorization, QR factorization, or the fast Fourier transform. All algorithms are implemented in MATLAB and are compared based on speed, memory use, and accuracy. An overall best algorithm is identified, which allows very large data sets to be processed quickly on a personal computer.

Authors and Affiliations

  • , Department of Electrical and, Johns Hopkins University, BALTIMORE, USA

    Howard L. Weinert

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