Inverses of Band Matrices and Local Convergence of Spline Projections
作者： Stephen Demko
DOI: 10.1137/0714041
关键词: Spline (mathematics) 、 Mathematics 、 Matrix (mathematics) 、 Local convergence 、 Bounded function 、 Mathematical analysis 、 Band matrix 、 Inverse 、 Bandwidth (signal processing) 、 Diagonal
摘要: It is shown that the size of entries in inverse a band matrix can be bounded terms norm matrix, its and bandwidth. In many cases this implies decay to zero exponentially as they move away from diagonal. These results are used obtain local convergence theorems for some spline projections.
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