Janet A Ford

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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)
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)
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)
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)
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)
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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