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
โฆ LIBER โฆ
The geometry of basic, approximate, and minimum-norm solutions of linear equations
โ Scribed by Jianming Miao; Adi Ben-Israel
- Book ID
- 107826532
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 728 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
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Suinmary. Paired operators T = d , P + A 2 & on a HILBERT spzce are studied where P is a projector, P+Q = I , and the coefficients are linear invertible operators. The MOORE-PENXOSE inverse of T can be obtained explicitly from a factorization of the coefficients, which is equivalent to the normal so
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