On the discrete linear L1 approximation and L1 solutions of overdetermined linear equations
โ Scribed by Nabih N Abdelmalek
- Book ID
- 107776564
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 784 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0021-9045
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๐ SIMILAR VOLUMES
Many practical problems encountered in digital signal processing and other quantitative oriented disciplines entail finding a best approximate solution to an overdetermined system of linear equations. Invariably, the least squares error approximate solution (i.e., minimum 2 norm) is chosen for this
Let 0/R N (N 2) be an unbounded domain, and L m be a homogeneous linear elliptic partial differential operator with constant coefficients. In this paper we show, among other things, that rapidly decreasing L 1 -solutions to L m (in 0) approximate all L 1 -solutions to L m (in 0), provided there exis