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- J A Ford, I A Moghrabi
- 2007

Multi-step quasi-Newton methods for unconstrained optimization were introduced in [1, 2, 3], where it was shown how an interpolation in the variable-space could be used to generalize the Secant Equation. For the case of two-step methods, there is a free parameter used in the interpolation which is at our disposal. In [4], the problem of choosing this… (More)

- Janet A Ford, Linda M Milosky
- Journal of speech, language, and hearing research…
- 2003

Anticipating and responding to a partner's emotional reactions are key components in the comprehension of daily social discourse. Kindergarten children with language impairment (LI) and age-matched controls (CA) were asked to label facial expressions depicting 1 of 4 emotions (happy, surprised, sad, mad) and to identify those expressions when given a verbal… (More)

- J A Ford, I A Moghrabi
- 1997

<lb>We consider multi-step quasi-Newton methods for unconstrained optimization.<lb>These methods were introduced by the authors [6, 7, 8], who showed how an<lb>interpolating curve in the variable-space could be used to derive an appropriate<lb>generalization of the Secant Equation normally employed in the construction of<lb>quasi-Newton methods. One of the… (More)

- J A Ford
- 2007

NUMERICAL SOLUTION OF NONLINEAR EQUATIONS J.A. FORD Department of Computer Science, University of Essex, Wivenhoe Park, Colchester, Essex, United Kingdom ABSTRACT An approach is described for the construction of a class of derivative-free methods for the solution of a single nonlinear equation in one variable and several new methods are obtained. The… (More)

- J A Ford, I A Moghrabi
- 2007

Multi-step quasi-Newton methods for unconstrained optimization were introduced by the authors ((1, 2, 3, 4]). At each iteration, these methods employ two polynomials, one to deene a path interpolating recent iterates in the variable-space and the other to approximate the gradient as the path is followed. Numerical experiments described in 1, 3], for… (More)

- I A Moghrabi, J A Ford
- 1998

{ We develop a framework (employing scaling functions) for the construction of multi-step quasi-Newton methods (for unconstrained optimization) which utilize values of the objective function. The methods are constructed via interpolants of the m + 1 most recent iterates / gradient evaluations, and possess a free parameter which introduces an additional… (More)

- J A Ford
- 1999

Quasi-Newton methods have been utilized as a standard technique for solving nonlinear optimization problems and nonlinear systems of equations for over thirty years. These methods, in almost all cases, make use of data obtained from the step just completed in the variable space to revise the current approximation to the Hessian / Jacobian. Recently, a new… (More)

- By J. A. Ford, J. A. FORD
- 2010

A class of methods for finding zeros of polynomials is derived which depends upon an arbitrary parameter p. The Jenkins-Traub algorithm is a special case, corresponding to the choice p = <*>. Global convergence is proved for large and small values of p and a duality between pairs of members is exhibited. Finally, we show that many members of the class… (More)

- J. A. Ford, S. J. Yull
- 2007

Previous work on so-called “fixed-point” multi-step quasi-Newton methods for unconstrained optimization employed the latest iterate as the “base point” for calculating the parameter values needed to carry out the requisite interpolations in the variableand gradient-spaces at each iteration. In this paper, we consider the use of an alternative base point and… (More)

- Janet A Ford, Linda M Milosky
- Journal of speech, language, and hearing research…
- 2008

PURPOSE
This study examined whether young children with typical language development (TL) and children with language impairment (LI) make emotion inferences online during the process of discourse comprehension, identified variables that predict emotion inferencing, and explored the relationship of these variables to social competence.
METHOD
Preschool… (More)

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