Search Results - "Womersley, R. S."

Algorithms with adaptive smoothing for finite minimax problems by POLAK, E, ROYSET, J. O, WOMERSLEY, R. S

“…We present a new feedback precision-adjustment rule for use with a smoothing technique and standard unconstrained minimization algorithms in the solution of…”
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An Algorithm Based on Active Sets and Smoothing for Discretized Semi-Infinite Minimax Problems by Polak, E., Womersley, R. S., Yin, H. X.

“…We present a new active-set strategy which can be used in conjunction with exponential (entropic) smoothing for solving large-scale minimax problems arising…”
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QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere by BRAUCHART, J. S., SAFF, E. B., SLOAN, I. H., WOMERSLEY, R. S.

“…with an implied constant that depends on the \mathbb{H}^s( \mathbb{S}^d ). Here \sigma _d \mathbb{S}^d We provide methods for generation and numerical testing…”
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Wendland functions with increasing smoothness converge to a Gaussian by Chernih, A., Sloan, I. H., Womersley, R. S.

“…The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with an appropriate…”
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Quasi-Monte Carlo for Highly Structured Generalised Response Models by Kuo, F. Y., Dunsmuir, W. T. M., Sloan, I. H., Wand, M. P., Womersley, R. S.

“…Highly structured generalised response models, such as generalised linear mixed models and generalised linear models for time series regression, have become an…”
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Local properties of algorithms for minimizing nonsmooth composite functions by WOMERSLEY, R. S

“…This paper considers local convergence and rate of convergence results for algorithms for minimizing the composite function F(x) = f(x) + h(c(x)) where f and c…”
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Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices by Overton, M. L., Womersley, R. S.

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An algorithm for composite nonsmooth optimization problems by WOMERSLEY, R. S, FLETCHER, R

“…Nonsmooth optimization problems are divided into two categories. The first is composite nonsmooth problems where the generalized gradient can be approximated…”
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Random Point Sets on the Sphere-Hole Radii, Covering, and Separation by Brauchart, J. S., Reznikov, A. B., Saff, E. B., Sloan, I. H., Wang, Y. G., Womersley, R. S.

“…Geometric properties of N random points distributed independently and uniformly on the unit sphere with respect to surface area measure are obtained and…”
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Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces by Brauchart, J.S., Dick, J., Saff, E.B., Sloan, I.H., Wang, Y.G., Womersley, R.S.

“…We prove that the covering radius of an N-point subset XN of the unit sphere Sd⊂Rd+1 is bounded above by a power of the worst-case error for equal weight…”
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Good approximation on the sphere, with application to geodesy and the scattering of sound by Sloan, Ian H., Womersley, Robert S.

“…Advances in approximation theory are often driven by applications. This paper explores two recent developments in polynomial approximation on the sphere, and…”
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Strong uniqueness in sequential linear programming by Osborne, M. R., Womersley, R. S.

“…It is known that strong uniqueness can be used to prove second order convergence of the generalised Gauss-Newton algorithm. Formally this algorithm includes…”
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Newton's method for quadratic stochastic programs with recourse by Chen, Xiaojun, Qi, Liqun, Womersley, Robert S.

“…Quadratic stochastic programs (QSP) with recourse can be formulated as nonlinear convex programming problems. By attaching a Lagrange multiplier vector to the…”
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Knowledge-based semidefinite linear programming classifiers by Jeyakumar, V., Ormerod, J., Womersley, R. S.

“…In this paper, we present knowledge-based support vector machine (SVM) classifiers using semidefinite linear programming. SVMs are an optimization-based…”
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Concise representation of generalised gradients by Osborne, M. R., Pruess, S. A., Womersley, R. S.

“…Computing the generalised gradient directly using its standard definition can involve forming the convex hull of a very large number of vectors. Here an…”
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Extremal Systems of Points and Numerical Integration on the Sphere by Sloan, Ian H., Womersley, Robert S.

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A New Probe of Gaussianity and Isotropy applied to the CMB Maps by Hamann, J, Gia, Q. T. Le, Sloan, I. H, Wang, Y. G, Womersley, R. S

“…We introduce a new mathematical tool (a direction-dependent probe) to analyse the randomness of purported isotropic Gaussian random fields on the sphere. We…”
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A feasible semismooth asymptotically Newton method for mixed complementarity problems by DEFENG SUN, WOMERSLEY, Robert S, HOUDUO QI

“…Semismooth Newton methods constitute a major research area for solving mixed complementarity problems (MCPs). Early research on semismooth Newton methods is…”
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Wendland functions with increasing smoothness converge to a Gaussian by Chernih, A, Sloan, I. H, Womersley, R. S

“…The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change…”
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Constructive Polynomial Approximation on the Sphere by Sloan, Ian H., Womersley, Robert S.

“…This paper considers the problem of constructive approximation of a continuous function on the unit sphere Sr−1⊆Rr by a spherical polynomial from the space Pn…”
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