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Vectorized algorithms for solving special tridiagonal systems

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Publication:679289
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DOI10.1016/S0898-1221(96)00203-9zbMath0872.65015MaRDI QIDQ679289

Juan-Miguel Gracia

Publication date: 19 October 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)


zbMATH Keywords

error analysisdiagonally dominanttridiagonal systemCRAY X-MPcircular near-Toeplitz systemsToeplitz factorizationvectorized algorithms


Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05)



Uses Software

  • LINPACK


Cites Work

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  • A note on the vectorization of scalar recursions
  • A parallel algorithm for solving special tridiagonal systems on ring networks
  • Algorithms for Special Tridiagonal Systems
  • A Parallel Method for Tridiagonal Equations
  • Parallel Computers 2
  • On Fourier-Toeplitz Methods for Separable Elliptic Problems
  • A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
  • An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations


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