Matrices and Quadrature Rules for Wavelets

  title={Matrices and Quadrature Rules for Wavelets},
  author={Wei-Chang Shann and Chien-Chang Yen},
Using the scaling equations, quadratures involving polynomials and scaling/wavelet functions can be evaluated by linear algebraic equations (which are theoretically exact) instead of numerical approximations. We study two matrices which are derived from these kinds of quadratures. These particular matrices are also seen in the literature of wavelets for other purposes. 


Publications referenced by this paper.
Showing 1-6 of 6 references

Necessary and su  cient conditions for constructing orthonormal wavelet bases

W. Sweldens
J . Math . Phys . • 1992

On the presentation of operators in bases of compactly supported wavelets , SIAMJ

R. Coifman G. Beylkin, V. Rokhlin
Numer . Anal . • 1992

Papanicolaou , A wavelet based space - time adaptive numericalmethod for partial di erential equations ,

S. Mallat E. Bacry, G.
RAIRO Math Modelling Numer . Anal . • 1992

Shann , Galerkinwavelets methods for two - point boundary value problems

Numer . Math . • 1992

Using the re nement equation for evaluating integrals ofwavelets

C. A. Micchelli
Wavelets in numerical analysis , in Wavelets and theirapplications • 1992

Coifman and V . Rokhlin , Fast wavelet transforms and numerical algorithms

R. G.Beylkin
Comm . Pure Appl . Math . • 1991

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