modify your search
 Results for DC.creator="P." AND DC.creator="T." AND DC.creator="Boggs"
Least squares
Prince, E. and Boggs, P. T.  International Tables for Crystallography (2006). Vol. C, ch. 8.1, pp. 678-688 [ doi:10.1107/97809553602060000609 ]
... of the transposes of the factors in reverse order: (AB)T= BTAT. The trace of a square matrix is the sum ... all eigenvalues are real, and there exists a unitary matrix, T, such that is diagonal, with the elements of D equal to the eigenvalues of A, and the columns of T are the eigenvectors. An n n symmetric matrix therefore ...

Orthogonal distance regression
Prince, E. and Boggs, P. T.  International Tables for Crystallography (2006). Vol. C, Section 8.1.6, pp. 687-688 [ doi:10.1107/97809553602060000609 ]
... that exploit this structure exist; one has been given by Boggs, Byrd & Schnabel (1987), and the software, called ODRPACK, is by Boggs, Byrd, Donaldson & Schnabel (1989). The algorithm is based on ... procedure for the computation of the variance-covariance matrix, see Boggs & Rogers (1990). References Boggs, P. T., Byrd, R. ...

Conjugate-gradient methods
Prince, E. and Boggs, P. T.  International Tables for Crystallography (2006). Vol. C, Section 8.1.5.2, pp. 686-687 [ doi:10.1107/97809553602060000609 ]
... is (1) define ; (2) for k = 0, 1, 2, ..., p - 1, (a) ; (b) ; (c) ; (d) . This algorithm finds the ... exact solution for the quadratic function in not more than p steps. This algorithm cannot be used directly for the nonlinear ... an actual line search, and the termination after at most p steps is replaced by a convergence test. Thus, we ...
     [more results from section 8.1.5 in volume C]

Recommendations
Prince, E. and Boggs, P. T.  International Tables for Crystallography (2006). Vol. C, Section 8.1.4.5, p. 685 [ doi:10.1107/97809553602060000609 ]
... International Tables for Crystallography (2006). Vol. C, ch. 8.1, p. 685 International Union of Crystallography 2006 | home | resources | advanced search ...
     [more results from section 8.1.4 in volume C]

Conditioning
Prince, E. and Boggs, P. T.  International Tables for Crystallography (2006). Vol. C, Section 8.1.3.3, p. 682 [ doi:10.1107/97809553602060000609 ]
... design matrix, Z, into the form where S is a p p diagonal matrix whose elements define some kind of `natural' unit ... International Tables for Crystallography (2006). Vol. C, ch. 8.1, p. 682 International Union of Crystallography 2006 | home | resources | advanced ...
     [more results from section 8.1.3 in volume C]

Principles of least squares
Prince, E. and Boggs, P. T.  International Tables for Crystallography (2006). Vol. C, Section 8.1.2, pp. 680-681 [ doi:10.1107/97809553602060000609 ]
... have a unique minimum at . The matrix is a p n matrix that relates the n-dimensional observation space to the p-dimensional parameter space and is known as the least-squares ... principle. Hayward, CA: Institute of Mathematical Statistics. Box, G. E. P. & Tiao, G. C. (1973). Bayesian inference in statistical ...

Statistics
Prince, E. and Boggs, P. T.  International Tables for Crystallography (2006). Vol. C, Section 8.1.1.2, pp. 679-680 [ doi:10.1107/97809553602060000609 ]
Statistics 8.1.1.2. Statistics A probability density function, which will be abbreviated p.d.f., is a function, [Phi](x), such that the probability of finding the random variable x in the interval is given by A p.d.f. has the properties and A cumulative distribution function, which will be abbreviated c.d.f., is defined by ...
     [more results from section 8.1.1 in volume C]

Software for least-squares calculations
Prince, E. and Boggs, P. T.  International Tables for Crystallography (2006). Vol. C, Section 8.1.7, p. 688 [ doi:10.1107/97809553602060000609 ]
... International Tables for Crystallography (2006). Vol. C, ch. 8.1, p. 688 International Union of Crystallography 2006 | home | resources | advanced search ...

powered by swish-e
























































to end of page
to top of page