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ORCIDRichard A. Tapia
Person information
- affiliation: Rice University, Houston, USA
- award (2010): National Medal of Science
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2010 – 2019
- 2019
[j28]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): 1870-1878 (2019)- 2018
- [j27]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): 3-55 (2018) - 2015
- [j26]Richard A. Tapia:
On averaging and representation properties of the BFGS and related secant updates. Math. Program. 153(2): 363-380 (2015) - 2013
- [j25]Joanna M. Papakonstantinou, Richard A. Tapia:
Origin and Evolution of the Secant Method in One Dimension. Am. Math. Mon. 120(6): 500-518 (2013) - 2012
- [j24]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): 919-929 (2012) - 2010
- [j23]Richard A. Tapia:
Hiring and developing minority faculty at research universities. Commun. ACM 53(3): 33-35 (2010)
2000 – 2009
- 2005
- [j22]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): 399-426 (2005) - 2004
- [j21]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): 139-160 (2004) - 2003
- [j20]Pamela J. Williams, Amr S. El-Bakry, Richard A. Tapia:
Using Indicators in Finite Termination Procedures. Optim. Methods Softw. 18(1): 39-52 (2003) - 2001
- [j19]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): 299-315 (2001) - [j18]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): 623-642 (2001)
1990 – 1999
- 1998
- [j17]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): 1-25 (1998) - 1997
- [j16]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): 47-65 (1997) - [j15]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): 66-85 (1997) - 1996
- [j14]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): 139-162 (1996) - [j13]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): 157-167 (1996) - [j12]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): 47-56 (1996) - 1995
- [j11]Richard A. Tapia, Yin Zhang, Yinyu Ye:
On the convergence of the iteration sequence in primal-dual interior-point methods. Math. Program. 68: 141-154 (1995) - [j10]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: 319-346 (1995) - 1994
- [j9]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): 143-153 (1994) - [j8]Richard A. Tapia, Michael W. Trosset:
An Extension of the Karush-Kuhn-Tucker Necessity Conditions to Infinite Programming. SIAM Rev. 36(1): 1-17 (1994) - [j7]Amr El-Bakry, Richard A. Tapia, Yin Zhang:
A Study of Indicators for Identifying Zero Variables in Interior-Point Methods. SIAM Rev. 36(1): 45-72 (1994) - 1993
- [j6]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: 151-162 (1993) - [j5]Yin Zhang, Richard A. Tapia:
A Superlinearly Convergent Polynomial Primal-Dual Interior-Point Algorithm for Linear Programming. SIAM J. Optim. 3(1): 118-133 (1993) - [j4]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): 413-422 (1993) - 1992
- [j3]Richard H. Byrd, Richard A. Tapia, Yin Zhang:
An SQP Augmented Lagrangian BFGS Algorithm for Constrained Optimization. SIAM J. Optim. 2(2): 210-241 (1992) - [j2]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): 304-324 (1992)
1970 – 1979
- 1975
- [j1]Richard H. Byrd, Richard A. Tapia:
An extension of Curry's theorem to steepest descent in normed linear spaces. Math. Program. 9(1): 247-254 (1975)
Coauthor Index
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