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"A Fast Algorithm For The Multiplication Of Generalized Hilbert Matrices With Vectors".pdf

S0025-5718-1988-0917825-9.pdf
Preview of "A fast algorithm for the multiplication of generalized Hilbert matrices with vectors"
🔗 Source: ams.org
📊 Size: 930 KB
📄 Pages: 10 pages
⬇️ Downloads: 85

Summary

A fast algorithm with a time complexity of O(n(logn)^2) is presented for the multiplication of generalized Hilbert matrices with vectors. The algorithm is then specialized for two important sets of points, the Chebyshev points and the nth roots of unity, reducing the time complexity to O(n log n). These points have applications in the numerical approximation of Cauchy singular integral equations. The algorithm is based on the Fast Fourier Transform, polynomial multiplication, interpolation, and evaluation at distinct points.

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Description

A fast algorithm with a time complexity of O(n(logn)^2) is presented for the multiplication of generalized Hilbert matrices with vectors.

Technical Information

  • File Format: PDF
  • File Size: 930 KB
  • Pages: 10
  • Language: EN
  • Total Downloads: 85
  • Last Updated: 2 hours ago

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