Richard A. Tapia

Affiliations:
  • Rice University, Houston, USA


According to our database1, Richard A. Tapia authored at least 28 papers between 1975 and 2019.

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Bibliography

2019
Extending the Pennisi-McCormick Second-Order Sufficiency Theory for Nonlinear Programming to Infinite Dimensions.
SIAM J. Optim., 2019

2018
Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method.
SIAM Rev., 2018

2015
On averaging and representation properties of the BFGS and related secant updates.
Math. Program., 2015

2013
Origin and Evolution of the Secant Method in One Dimension.
Am. Math. Mon., 2013

2012
Generation of classes of symmetric rank-2 secant updates and the maximality of the Davidon class.
Optim. Methods Softw., 2012

2010
Hiring and developing minority faculty at research universities.
Commun. ACM, 2010

2005
A global optimization method for the molecular replacement problem in X-ray crystallography.
Math. Program., 2005

2004
On Sizing and Shifting the BFGS Update within the Sized-Broyden Family of Secant Updates.
SIAM J. Optim., 2004

2003
Using Indicators in Finite Termination Procedures.
Optim. Methods Softw., 2003

2001
A Fast Newton Algorithm for Entropy Maximization in Phase Determination.
SIAM Rev., 2001

Selective Search for Global Optimization of Zero or Small Residual Least-Squares Problems: A Numerical Study.
Comput. Optim. Appl., 2001

1998
On Effectively Computing the Analytic Center of the Solution Set by Primal-Dual Interior-Point Methods.
SIAM J. Optim., 1998

1997
On the Quadratic Convergence of the Simplified Mizuno-Todd-Ye Algorithm for Linear Programming.
SIAM J. Optim., 1997

On the Convergence of the Mizuno-Todd-Ye Algorithm to the Analytic Center of the Solution Set.
SIAM J. Optim., 1997

1996
The Mehrotra Predictor-Corrector Interior-Point Method As a Perturbed Composite Newton Method.
SIAM J. Optim., 1996

On the convergence rate of Newton interior-point methods in the absence of strict complementarity.
Comput. Optim. Appl., 1996

On the construction of strong complementarity slackness solutions for DEA linear programming problems using a primal-dual interior-point method.
Ann. Oper. Res., 1996

1995
On the convergence of the iteration sequence in primal-dual interior-point methods.
Math. Program., 1995

A unified approach to global convergence of trust region methods for nonsmooth optimization.
Math. Program., 1995

1994
An Extension of the Karush-Kuhn-Tucker Necessity Conditions to Infinite Programming.
SIAM Rev., 1994

A Study of Indicators for Identifying Zero Variables in Interior-Point Methods.
SIAM Rev., 1994

Numerical Optimization At the Center for Research On Parallel Computation.
Int. J. High Perform. Comput. Appl., 1994

1993
On the Superlinear Convergence of Interior-Point Algorithms for a General Class of Problems.
SIAM J. Optim., 1993

A Superlinearly Convergent Polynomial Primal-Dual Interior-Point Algorithm for Linear Programming.
SIAM J. Optim., 1993

A quadratically convergent O(qudra root(n)*L)-iteration algorithm for linear programming.
Math. Program., 1993

1992
On the Superlinear and Quadratic Convergence of Primal-Dual Interior Point Linear Programming Algorithms.
SIAM J. Optim., 1992

An SQP Augmented Lagrangian BFGS Algorithm for Constrained Optimization.
SIAM J. Optim., 1992

1975
An extension of Curry's theorem to steepest descent in normed linear spaces.
Math. Program., 1975


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