# least squares

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## 7 matching pages

##### 1: 3.11 Approximation Techniques
###### §3.11(v) LeastSquares Approximations
For further information on least squares approximations, including examples, see Gautschi (1997a, Chapter 2) and Björck (1996, Chapters 1 and 2). …
##### 2: Bibliography P
• M. J. D. Powell (1967) On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Comput. J. 9 (4), pp. 404–407.
• ##### 3: Bibliography B
• Å. Björck (1996) Numerical Methods for Least Squares Problems. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
• ##### 4: 28.6 Expansions for Small $q$
It is conjectured that for large $n$, the radii increase in proportion to the square of the eigenvalue number $n$; see Meixner et al. (1980, §2.4). …
##### 5: 26.18 Counting Techniques
With the notation of §26.15, the number of placements of $n$ nonattacking rooks on an $n\times n$ chessboard that avoid the squares in a specified subset $B$ is … The number of ways of placing $n$ labeled objects into $k$ labeled boxes so that at least one object is in each box is …
##### 7: 1.4 Calculus of One Variable
###### Square-Integrable Functions
A function $f(x)$ is square-integrable if …
1.4.33 $\mathcal{V}_{a,b}\left(f\right)=\sup\sum^{n}_{j=1}|f(x_{j})-f(x_{j-1})|,$