An extension of Curry's theorem to steepest descent in normed linear spaces. - Richard H. Byrd; Richard A. Tapia (Math. Program., 1975)

An SQP Augmented Lagrangian BFGS Algorithm for Constrained Optimization. - Richard H. Byrd; Richard A. Tapia; Yin Zhang 010 (SIAM J. Optim., 1992)

On the Superlinear and Quadratic Convergence of Primal-Dual Interior Point Linear Programming Algorithms. - Yin Zhang 010; Richard A. Tapia; John E. Dennis Jr. (SIAM J. Optim., 1992)

A quadratically convergent O(qudra root(n)*L)-iteration algorithm for linear programming. - Yinyu Ye 001; Osman Güler; Richard A. Tapia; Yin Zhang 010 (Math. Program., 1993)

A Superlinearly Convergent Polynomial Primal-Dual Interior-Point Algorithm for Linear Programming. - Yin Zhang 010; Richard A. Tapia (SIAM J. Optim., 1993)

On the Superlinear Convergence of Interior-Point Algorithms for a General Class of Problems. - Yin Zhang 010; Richard A. Tapia; Florian A. Potra (SIAM J. Optim., 1993)

Numerical Optimization At the Center for Research On Parallel Computation. - Brett M. Averick; Christian H. Bischof; Robert E. Bixby; Alan Carle; John E. Dennis Jr.; Mahmoud El-Alem; Amr El-Bakry; Andreas Griewank; G. Johnson; Robert M. Lewis; Jorge J. Moré; Richard A. Tapia; et al. (Int. J. High Perform. Comput. Appl., 1994)

A Study of Indicators for Identifying Zero Variables in Interior-Point Methods. - Amr El-Bakry; Richard A. Tapia; Yin Zhang 010 (SIAM Rev., 1994)

An Extension of the Karush-Kuhn-Tucker Necessity Conditions to Infinite Programming. - Richard A. Tapia; Michael W. Trosset (SIAM Rev., 1994)

A unified approach to global convergence of trust region methods for nonsmooth optimization. - John E. Dennis Jr.; Shou-Bai B. Li; Richard A. Tapia (Math. Program., 1995)

On the convergence of the iteration sequence in primal-dual interior-point methods. - Richard A. Tapia; Yin Zhang 010; Yinyu Ye 001 (Math. Program., 1995)

On the construction of strong complementarity slackness solutions for DEA linear programming problems using a primal-dual interior-point method. - María D. González-Lima; Richard A. Tapia; Robert M. Thrall (Ann. Oper. Res., 1996)

On the convergence rate of Newton interior-point methods in the absence of strict complementarity. - Amr S. El-Bakry; Richard A. Tapia; Yin Zhang 010 (Comput. Optim. Appl., 1996)

The Mehrotra Predictor-Corrector Interior-Point Method As a Perturbed Composite Newton Method. - Richard A. Tapia; Yin Zhang 010; Matthew J. Saltzman; Alan Weiser (SIAM J. Optim., 1996)

On the Convergence of the Mizuno-Todd-Ye Algorithm to the Analytic Center of the Solution Set. - Clóvis C. Gonzaga; Richard A. Tapia (SIAM J. Optim., 1997)

On the Quadratic Convergence of the Simplified Mizuno-Todd-Ye Algorithm for Linear Programming. - Clóvis C. Gonzaga; Richard A. Tapia (SIAM J. Optim., 1997)

On Effectively Computing the Analytic Center of the Solution Set by Primal-Dual Interior-Point Methods. - María D. González-Lima; Richard A. Tapia; Florian A. Potra (SIAM J. Optim., 1998)

Selective Search for Global Optimization of Zero or Small Residual Least-Squares Problems: A Numerical Study. - Leticia Velázquez; George N. Phillips Jr.; Richard A. Tapia; Yin Zhang 010 (Comput. Optim. Appl., 2001)

A Fast Newton Algorithm for Entropy Maximization in Phase Determination. - Zhijun Wu; George N. Phillips Jr.; Richard A. Tapia; Yin Zhang 010 (SIAM Rev., 2001)

Using Indicators in Finite Termination Procedures. - Pamela J. Williams; Amr S. El-Bakry; Richard A. Tapia (Optim. Methods Softw., 2003)

On Sizing and Shifting the BFGS Update within the Sized-Broyden Family of Secant Updates. - Hiroshi Yabe; Héctor J. Martínez; Richard A. Tapia (SIAM J. Optim., 2004)

A global optimization method for the molecular replacement problem in X-ray crystallography. - Diane C. Jamrog; George N. Phillips Jr.; Richard A. Tapia; Yin Zhang 010 (Math. Program., 2005)

Hiring and developing minority faculty at research universities. - Richard A. Tapia (Commun. ACM, 2010)

Generation of classes of symmetric rank-2 secant updates and the maximality of the Davidon class. - Joanna M. Papakonstantinou; Richard A. Tapia (Optim. Methods Softw., 2012)

Origin and Evolution of the Secant Method in One Dimension. - Joanna M. Papakonstantinou; Richard A. Tapia (Am. Math. Mon., 2013)

On averaging and representation properties of the BFGS and related secant updates. - Richard A. Tapia (Math. Program., 2015)

Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method. - Richard A. Tapia; John E. Dennis Jr.; Jan P. Schäfermeyer (SIAM Rev., 2018)

Extending the Pennisi-McCormick Second-Order Sufficiency Theory for Nonlinear Programming to Infinite Dimensions. - Richard H. Byrd; Jorio Cocola; Richard A. Tapia (SIAM J. Optim., 2019)