Local properties of algorithms for minimizing nonsmooth composite functions. - Robert S. Womersley (Math. Program., 1985)

On the Sum of the Largest Eigenvalues of a Symmetric Matrix. - Michael L. Overton; Robert S. Womersley (SIAM J. Matrix Anal. Appl., 1992)

Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices. - Michael L. Overton; Robert S. Womersley (Math. Program., 1993)

An SQP algorithm for extended linear-quadratic problems in stochastic programming. - Liqun Qi 001; Robert S. Womersley (Ann. Oper. Res., 1995)

Second Derivatives for Optimizing Eigenvalues of Symmetric Matrices. - Michael L. Overton; Robert S. Womersley (SIAM J. Matrix Anal. Appl., 1995)

A parallel inexact newton method for stochastic programs with recourse. - Xiaojun Chen 001; Robert S. Womersley (Ann. Oper. Res., 1996)

A New Unconstrained Differentiable Merit Function for Box Constrained Variational Inequality Problems and a Damped Gauss-Newton Method. - Defeng Sun; Robert S. Womersley (SIAM J. Optim., 1999)

How good can polynomial interpolation on the sphere be? - Robert S. Womersley; Ian H. Sloan (Adv. Comput. Math., 2001)

A feasible semismooth asymptotically Newton method for mixed complementarity problems. - Defeng Sun; Robert S. Womersley; Houduo Qi (Math. Program., 2002)

Extremal Systems of Points and Numerical Integration on the Sphere. - Ian H. Sloan; Robert S. Womersley (Adv. Comput. Math., 2004)

Knowledge-based semidefinite linear programming classifiers. - Vaithilingam Jeyakumar; John T. Ormerod; Robert S. Womersley (Optim. Methods Softw., 2006)

Existence of Solutions to Systems of Underdetermined Equations and Spherical Designs. - Xiaojun Chen 001; Robert S. Womersley (SIAM J. Numer. Anal., 2006)

A variational characterisation of spherical designs. - Ian H. Sloan; Robert S. Womersley (J. Approx. Theory, 2009)

Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere. - Congpei An; Xiaojun Chen 001; Ian H. Sloan; Robert S. Womersley (SIAM J. Numer. Anal., 2010)

Minimizing the Condition Number of a Gram Matrix. - Xiaojun Chen 001; Robert S. Womersley; Jane J. Ye (SIAM J. Optim., 2011)

Numerical integration with polynomial exactness over a spherical cap. - Kerstin Hesse; Robert S. Womersley (Adv. Comput. Math., 2012)

Regularized Least Squares Approximations on the Sphere Using Spherical Designs. - Congpei An; Xiaojun Chen 001; Ian H. Sloan; Robert S. Womersley (SIAM J. Numer. Anal., 2012)

Wendland functions with increasing smoothness converge to a Gaussian. - Andrew Chernih; Ian H. Sloan; Robert S. Womersley (Adv. Comput. Math., 2014)

QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere. - Johann S. Brauchart; Edward B. Saff; Ian H. Sloan; Robert S. Womersley (Math. Comput., 2014)

Corrigendum: Regularized Least Squares Approximations on the Sphere Using Spherical Designs. - Congpei An; Xiaojun Chen 001; Ian H. Sloan; Robert S. Womersley (SIAM J. Numer. Anal., 2014)

Needlet approximation for isotropic random fields on the sphere. - Quoc Thong Le Gia; Ian H. Sloan; Yuguang Wang 001; Robert S. Womersley (J. Approx. Theory, 2017)

Radial basis function approximation of noisy scattered data on the sphere. - Kerstin Hesse; Ian H. Sloan; Robert S. Womersley (Numerische Mathematik, 2017)

Random Point Sets on the Sphere - Hole Radii, Covering, and Separation. - Johann S. Brauchart; Alexander B. Reznikov; Edward B. Saff; Ian H. Sloan; Yuguang Wang 001; Robert S. Womersley (Exp. Math., 2018)

Spherical Designs and Nonconvex Minimization for Recovery of Sparse Signals on the Sphere. - Xiaojun Chen 001; Robert S. Womersley (SIAM J. Imaging Sci., 2018)

Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. - Kerstin Hesse; Ian H. Sloan; Robert S. Womersley (J. Comput. Appl. Math., 2021)

Needlets Liberated. - Johann S. Brauchart; Peter J. Grabner; Ian H. Sloan; Robert S. Womersley (CoRR, 2022)

Removing the mask - reconstructing a scalar field on the sphere from a masked field. - Jan Hamann; Quoc Thong Le Gia; Ian H. Sloan; Robert S. Womersley (CoRR, 2023)

Numerical computation of triangular complex spherical designs with small mesh ratio. - Yuguang Wang 001; Robert S. Womersley; Hau-Tieng Wu; Wei-Hsuan Yu (J. Comput. Appl. Math., 2023)

Removing the Mask - Reconstructing a Real-Valued Field on the Sphere from a Masked Field by Spherical Fourier Analysis. - Jan Hamann; Quoc Thong Le Gia; Ian H. Sloan; Robert S. Womersley (SIAM J. Imaging Sci., 2024)