Sentence examples for matrix of first from inspiring English sources

Here (D^{1}) denotes the operational matrix of first order.

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

We consider the infinite matrix of first difference Δ = ( a n m ) n, m ≥ 1 defined by a n n = 1, a n, n + 1 = − 1 and a n m = 0 otherwise.

The Jacobian matrix ( A) and the matrix of first derivatives of the mass balances w.r.t the parameter values ( B) (whose columns are denoted by bj) are given by: <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0002016.e004.PNG" class= inline-graphic"/> where x denotes a point along the nominal or unperturbed system solution.

Since the output sensitivity matrix is a linear transformation of the matrix of first order partial derivative functions, our correlation analysis approach provides a necessary (but not sufficient) condition of parameter identifiability.

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.

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).

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.

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.

Furthermore, this method usually involves evaluating a Hessian matrix (a square matrix of second-order partial derivatives of a scalar-valued function to describe the local curvature of a function of many variables) or an inequality, which makes it more complicated and time demanding (Brown 2001).