## Analysis of global expansion methods: weakly asymptotically diagonal systems |

### From inside the book

49 pages matching **expansion coefficients** in this book

Where's the rest of this book?

Results 1-3 of 49

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Introduction and Motivation | 3 |

Asymptotically Diagonal Systems of Type | 19 |

Weakly Asymptotically Diagonal Systems | 41 |

Copyright | |

13 other sections not shown

### Common terms and phrases

analysis approximate solution assume assumptions behaviour block matrix BWAD characterise Chebyshev polynomials choice computed conditions of Theorem consider Corollary defined derivatives diagonal convergence rate diagonal matrix eigenfunctions eigensystem eigenvalue elements error estimates example exists expansion coefficients expansion functions expansion method expansion set finite follows Galerkin method Galerkin solution generalisation given Hence i-convergence i-th inequality infinite matrix integral equation interval inverse Jacobi Jacobi polynomials Lemma lower triangular Mikhlin min{p natural norm nice system non-singular normalised numerical obtain operator equation orthogonal polynomials orthonormal parameters positive constant positive definite predicted problem Proof property MN rate of convergence restriction satisfy the conditions Section singularities stability strongly minimal symmetric symmetric matrix system of equations Theorem 2.1 transformation triangular matrix type A(p vector g vergence WAD matrices WAD systems weight function X X X X X X yields