Sentence examples for matrix of second from inspiring English sources

For example, some algorithms are specifically targeted to large, smooth unconstrained problems in which the matrix of second derivatives of f(x) contains few nonzero entries and is expensive to evaluate, while other algorithms are aimed specifically at convex quadratic programming problems, and so on.

Next, it goes on to consider the widely used Harris interest point operator, which is based on the determinant of the matrix of second moments of the first derivatives of the intensity function.

The essential purpose of this paper is to demonstrate that these directions are always real, distinct, in number equal to the variance of Gibb's phase rule, and given by the eigenvectors of the matrix of second derivatives (the Hessian) of free enthalpy.

An obvious alternative to using the BFGS method is to evaluate the Hessian matrix of second derivatives of ϕ ( X ) and use Newton's method.

H x) is the Hessian matrix of second partial derivatives of ψ evaluated at the fixed point (assumed to be x = 0).

This matrix is approximated by the Hessian matrix H, that is, the matrix of second derivatives of the optimised function.

Figure J.7: Matlab/Octave function for computing direct-form transfer-function coefficients B and A from a matrix of second-order section coefficients sos and overall gain factor g.

His next monograph, State of War: The Violent Order of Fourteenth Century Japan, revealed how warfare transformed the social, political, and intellectual matrix of fourteenth-century Japan.

Analyses are based upon a matrix of first principle finite difference calculations using the Sandia CTH (release 7.1) Shock Physics Code.

Cutting states associated with the orthogonal cutting of stiff cylinders are identified through an analysis of the singular values of a Toeplitz matrix of third order cumulants of acceleration measurements.

For r ��� C 2 ( J × R n ), let r t ( t, x ) denote the partial derivative with respect to t, r x ( t, x ) denote the gradient, and r x x ( t, x ) denote the matrix of second-order partial derivatives of r with respect to x.