Richard A. Tapia

Publication Activity (10 Years)

Years Active: 1975-2019
Publications (10 Years): 2

Top Topics

Nonlinear Programming

Equality And Inequality Constraints

Top Venues

Publications

Richard H. Byrd, Jorio Cocola, Richard A. Tapia
Extending the Pennisi-McCormick Second-Order Sufficiency Theory for Nonlinear Programming to Infinite Dimensions. SIAM J. Optim. 29 (3) (2019)
Richard A. Tapia, John E. Dennis Jr., Jan P. Schäfermeyer
Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method. SIAM Rev. 60 (1) (2018)
Richard A. Tapia
On averaging and representation properties of the BFGS and related secant updates. Math. Program. 153 (2) (2015)
Joanna M. Papakonstantinou, Richard A. Tapia
Origin and Evolution of the Secant Method in One Dimension. Am. Math. Mon. 120 (6) (2013)
Joanna M. Papakonstantinou, Richard A. Tapia
Generation of classes of symmetric rank-2 secant updates and the maximality of the Davidon class. Optim. Methods Softw. 27 (4-5) (2012)
Richard A. Tapia
Hiring and developing minority faculty at research universities. Commun. ACM 53 (3) (2010)
Diane C. Jamrog, George N. Phillips Jr., Richard A. Tapia, Yin Zhang
A global optimization method for the molecular replacement problem in X-ray crystallography. Math. Program. 103 (2) (2005)
Hiroshi Yabe, Héctor J. Martínez, Richard A. Tapia
On Sizing and Shifting the BFGS Update within the Sized-Broyden Family of Secant Updates. SIAM J. Optim. 15 (1) (2004)
Pamela J. Williams, Amr S. El-Bakry, Richard A. Tapia
Using Indicators in Finite Termination Procedures. Optim. Methods Softw. 18 (1) (2003)
Zhijun Wu, George N. Phillips Jr., Richard A. Tapia, Yin Zhang
A Fast Newton Algorithm for Entropy Maximization in Phase Determination. SIAM Rev. 43 (4) (2001)
Leticia Velázquez, George N. Phillips Jr., Richard A. Tapia, Yin Zhang
Selective Search for Global Optimization of Zero or Small Residual Least-Squares Problems: A Numerical Study. Comput. Optim. Appl. 20 (3) (2001)
María D. González-Lima, Richard A. Tapia, Florian A. Potra
On Effectively Computing the Analytic Center of the Solution Set by Primal-Dual Interior-Point Methods. SIAM J. Optim. 8 (1) (1998)
Clóvis C. Gonzaga, Richard A. Tapia
On the Quadratic Convergence of the Simplified Mizuno-Todd-Ye Algorithm for Linear Programming. SIAM J. Optim. 7 (1) (1997)
Clóvis C. Gonzaga, Richard A. Tapia
On the Convergence of the Mizuno-Todd-Ye Algorithm to the Analytic Center of the Solution Set. SIAM J. Optim. 7 (1) (1997)
María D. González-Lima, Richard A. Tapia, Robert M. Thrall
On the construction of strong complementarity slackness solutions for DEA linear programming problems using a primal-dual interior-point method. Ann. Oper. Res. 66 (2) (1996)
Amr S. El-Bakry, Richard A. Tapia, Yin Zhang
On the convergence rate of Newton interior-point methods in the absence of strict complementarity. Comput. Optim. Appl. 6 (2) (1996)
Richard A. Tapia, Yin Zhang, Matthew J. Saltzman, Alan Weiser
The Mehrotra Predictor-Corrector Interior-Point Method As a Perturbed Composite Newton Method. SIAM J. Optim. 6 (1) (1996)
John E. Dennis Jr., Shou-Bai B. Li, Richard A. Tapia
A unified approach to global convergence of trust region methods for nonsmooth optimization. Math. Program. 68 (1995)
Richard A. Tapia, Yin Zhang, Yinyu Ye
On the convergence of the iteration sequence in primal-dual interior-point methods. Math. Program. 68 (1995)
Richard A. Tapia, Michael W. Trosset
An Extension of the Karush-Kuhn-Tucker Necessity Conditions to Infinite Programming. SIAM Rev. 36 (1) (1994)
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, Virginia Torczon, Karen Williamson
Numerical Optimization At the Center for Research On Parallel Computation. Int. J. High Perform. Comput. Appl. 8 (2) (1994)
Amr El-Bakry, Richard A. Tapia, Yin Zhang
A Study of Indicators for Identifying Zero Variables in Interior-Point Methods. SIAM Rev. 36 (1) (1994)
Yin Zhang, Richard A. Tapia, Florian A. Potra
On the Superlinear Convergence of Interior-Point Algorithms for a General Class of Problems. SIAM J. Optim. 3 (2) (1993)
Yin Zhang, Richard A. Tapia
A Superlinearly Convergent Polynomial Primal-Dual Interior-Point Algorithm for Linear Programming. SIAM J. Optim. 3 (1) (1993)
Yinyu Ye, Osman Güler, Richard A. Tapia, Yin Zhang
A quadratically convergent O(qudra root(n)*L)-iteration algorithm for linear programming. Math. Program. 59 (1993)
Yin Zhang, Richard A. Tapia, John E. Dennis Jr.
On the Superlinear and Quadratic Convergence of Primal-Dual Interior Point Linear Programming Algorithms. SIAM J. Optim. 2 (2) (1992)
Richard H. Byrd, Richard A. Tapia, Yin Zhang
An SQP Augmented Lagrangian BFGS Algorithm for Constrained Optimization. SIAM J. Optim. 2 (2) (1992)
Richard H. Byrd, Richard A. Tapia
An extension of Curry's theorem to steepest descent in normed linear spaces. Math. Program. 9 (1) (1975)