NISE:Assessing and Evaluating the Evaluation Tool - The
Standardized Test, 1998 HTML
Format

Promoting National Minority Leadership in Science and
Engineering, October, 1999 (with Chubin and C. Lanius). HTML
Format PDF
format

Underrepresented Minority Achievement and Course Taking
- The Kindergarden-Graduate Continuum, May, 2000 (wich C.
Lanius). HTML
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format

Factors that Influence Science and Engineering Graduate
Student Diversity: Results of a Rice Faculty Survey, September,
2003 (with C. Lanius, and B. Alexander) HTML
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format

An Introduction to Mathematical Optimization Theory, Jones
and Bartlett, in preparation.

Nonparametric Function Estimation, Modeling, and Simulation,
SIAM, Philadelphia, Pennsylvania, 1990. A revision of Nonparametric
Density Estimation (with J.R. Thompson).

Nonparametric Density Estimation, Johns Hopkins University
Press, Baltimore, Maryland, 1978 (with J.R. Thompson).

Mathematical Ship lofting, Journal of Ship Research,
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An Application of a Newton-like Method to the Euler-Lagrange
Equation, Pacific Journal of Mathematics, 29(1969),
235-245.

The Weak Newton Method and Boundary Value Problems, SIAM
Journal on Numerical Analysis, 6 (1969), 539-550.

Hamel versus Schauder Dimension, American Mathematical
Monthly, 77 (1970), 385- 388 (with J.W. Evans).

The Kantorovich Theorem for Newton's Method, American
Mathematical Monthly, 78 (1971), 389-392.

The Differentiation and Integration of Nonlinear Operators,
Nonlinear Functional Analysis and Applications, (1971),
(ed. L.B. Rall) Academic Press, New York, 45-101.

The Gradient Projection Method under Mild Differentiability
Conditions, SIAM Journal on Control, 10 (1972), 93-98
(with G.P. McCormick).

The Metric Gradient in Normed Linear Spaces, Numerical
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An Extremum Problem, SIAM Review, 14 (1972), 365.

Kantorovich Estimates for Some Convex Programs, SIAM
Journal on Control, 11 (1973), 375-377 (with A.A. Goldstein).

A Characterization of Inner Product Spaces, Bulletin
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A Characterization of Inner Product Spaces, Proc. American
Mathematical Society, 41 (1973), 569-574.

Optimal Error Bounds for the Newton-Kantorovich Theorem,
SIAM Journal on Numerical Analysis, 11 (1974), 10-13
(with W.B. Gragg).

Newton’s Method for Problems with Equality Constraints,
SIAM Journal on Numerical Analysis, 11 (1974), 174-196.

A General Approach to Newton's Method for Banach Space
Problems with Equality Constraints, Bulletin American
Mathematical Society, 80 (1974), 355-360.

Newton's Method for Optimization problems with Equality
Constraints, SIAM Journal on Numerical Analysis,
(1974), 874-886.

A Stable Approach to Newton's Method for General Mathematical
Programming Problems in , SIAM Journal of Optimization
Theory and Applications, 14 (1974), 453-476.

An Extension of Curry's Theorem to Steepest Descent in
Normed Linear Spaces, Mathematical Programming, 9
(1975), 247-254 (with R.H. Byrd).

Nonparametric Maximum Likelihood Estimation of Probability
Densities by Penalty Function Methods, Annals of Statistics,
3 (1975), 1329-1348 (with G., de Montricher and J.R. Thompson).

Computable A Posteriori L_{inf.} Error Bounds
for the Approximate Solution of Two-Point Boundary Value
Problems, SIAM Journal on Numerical Analysis, 12
(1975), 919-937 (with Mary Anne McCarthy).

Kernel Density Estimation Revisited, Nonlinear Analysis,
Theory, Methods and Applications, 1 (1977), 339-372
(with D. Scott and J.R. Thompson).

Diagonalized Multiplier Methods and Quasi-Newton Methods
for Constrained Optimization, Journal of Optimization
Theory and Applications, 22 (1977), 135-194.

Quasi-Newton Methods for Constrained Optimization: Equivalence
of Existing Methods and a New Implementation, in Nonlinear
Programming, 3 (1978), Eds. O.L. Mangasarian, R.R. Meyer,
and S.M. Robinson, Academic Press, New York, 125-164.

Optimal Smoothing of Direct Estimates of the Power Spectrum,
Communications in Statistics, 4 (1978), (with R.
Byrd and J. Thompson).

On the Role of Slack Variables in Quasi-Newton Methods
for Constrained Optimization, in Numerical Optimization
of Dynamic Systems, (1980) L.C.W. Dixon and G.P. Szegö
(eds.), North Holland Press, 235-246.

Nonparametric Probability Density Estimation by Discrete
Maximum Penalized Likelihood Criteria, Annals of Statistics,
8 (1980), 820-832 (with D. Scott and J.R. Thompson).

Nonlinear Programming, McGraw Hill Encyclopedia of
Science and Technology, (1981).

Recent Advances in Nonlinear Programming, McGraw-Hill
Yearbook of Science and Technology, (1981).

A Trust Region Strategy of Equality Constrained Optimization,
in Numerical Optimization, (1984), ed. by P.T. Boggs,
R.H. Byrd and R.B. Schnabel, SIAM, 71-82 (with M.R. Celis
and J.E. Dennis).

A Convergence Theory for a Class of Quasi-Newton Methods
for Constrained Optimization, SIAM Journal on Numerical
Analysis, 24 (1987), 1133-1151 (with R. Fontecilla and
T. Steihaug).

On the Characterization of q-Superlinear Convergence of
Quasi-Newton Methods for Constrained Optimization, Math.
Comp., 49 (1987), 581-584 (with J. Stoer).

The Projected Newton Method has Order 1 + sqrt(2) for
the Symmetric Eigenvalue Problem, SIAM Journal on Numerical
Analysis, 25 (1988), 1376-1382 (with David Whitley).

Secant Updates for use in General Constrained Optimization,
Math. of Comp., 51 (1988), 181-202.

A Convergence Theory for the Structured BFGS Secant Method
with an Application to Nonlinear Least-Squares, Journal
of Optimization Theory and Applications, 61 (1989),
161-178 (with J.E. Dennis and H. Martinez).

A Cubically Convergent Method for Locating a Nearby Vertex
in Linear Programming, Journal of Optimization Theory
and Applications, 67 (1990), 217-225 (with Y. Zhang).

An Optimal Basis Identification Technique for Interior-Point
Linear Programming Methods, Linear Algebra and Its Applications,
152 (1991), 343-363, special issue devoted to interior-point
methods (with Y. Zhang).

An SQP Augmented Lagrangian BFGS Algorithm for Constrained
Optimization, SIAM Journal on Optimization, 2 (1992),
210-241 (with R.H. Byrd and Y. Zhang).

On the Superlinear and Quadratic Convergence of Primal-Dual
Interior-Point Linear Programming Algorithms, SIAM Journal
on Optimization, 2 (1992), 304-324 (with Y. Zhang and
J.E. Dennis).

Superlinear and Quadratic Convergence of Primal-Dual Interior-Point
Methods for Linear Programming Revisited, Journal of
Optimization Theory and Applications, 73 (1992), 229-242
(with Y. Zhang).

On the Superlinear Convergence of Interior-Point Algorithms
for a General Class of Problems, SIAM Journal on Optimization,
3 (1993), 413-422 (with Y. Zhang and F. Potra).

A Superlinearly Convergent Polynomial Primal-Dual Interior-Point
Algorithm for Linear Programming, SIAM Journal on Optimization,
3 (1993), 118-133 (with Y. Zhang).

Sizing the BFGS and DFP Updates: A Numerical Study, Journal
of Optimization Theory and Applications, 78 (1993),
93-108 (with Martha Contreras).

A Quadratically Convergent O(sqrt(n)L)-Iteration Algorithm
for Linear Programming, Mathematical Programming,
59 (1993), 151-162 (with Y. Ye, O. Guler and Y. Zhang).

On the Quadratic Convergence of the Singular Newton's
Method (an essay), SIAG/OPT Views and News: A Forum for
the SIAM Activity Group in Optimization, Ed. Larry Nazareth,
No. 1, Fall 1992, 6-8 (with Y. Zhang).

A Unified Approach to Global Convergence of Trust-Region
Methods for Optimization, (revised July 1993), Mathematical
Programming, 68 (1995), 319 (with J.E. Dennis and Shou-Bai
Li).

The Mehrotra Predictor-Corrector Interior-Point Method
as a Perturbed Composite Newton Method, SIAM Journal
on Optimization, 6 (1) (1996), 47-56 (with Y. Zhang,
M.J. Saltzman, and A. Weiser).

A Study of Indicators for Identifying Zero Variables in
Interior-point Methods, SIAM Review, 36 (1994), 45-72
(with A.S. El - Bakry and Y. Zhang).

On the Characterization of Q-Superlinear Convergence for
Quasi-Newton Interior-Point Methods for Nonlinear Programming,
El Boletin de la Sociedad Matematica Mexicana, inaugural
issue of the Journal of Mexican Mathematics Society, 1(3)
(1995), 137-148 (with H.J. Martinez and Z. Parada).

On the Convergence of the Iteration Sequence in Primal-Dual
Interior-Point Methods, Mathematical Programming,
68 (1995), 141-154 (with Y. Zhang and Yinyu Ye).

On the Convergence of the Mizuno-Todd-Ye Algorithm to
the Analytic Center of the Solution Set, to appear in SIAM
Journal on Optimization, (with C. Gonzaga).

On the Quadratic Convergence of the Simplified Mizuno-Todd-Ye
Algorithm for Linear Programming, SIAM Journal on Optimization,
7 (1) (1997), 66-85 (with C. Gonzaga).

An Extension of the Karush-Kuhn-Tucker Necessity Conditions
to Infinite Programming, SIAM Review, 36 (1994),
1-17 (with Michael Trosset).

Numerical Experience with Polyhedral Norm CDT Trust-Region
Algorithms, Journal of Optimization Theory and Applications,
85 (1995), 575-591 (with M. El-Alem).

On the Formulation and Theory of the Newton Interior-Point
Method for Nonlinear Programming, Journal of Optimization
Theory and Applications, 89 (1996), 507-541 (with A.
El-Bakry, T. Tsuchiya and Y. Zhang).

On the Construction of Strong Complementarity Slackness
Solutions for DEA Linear Programming Problems Using a Primal-Dual
Interior-Point Method, to appear in The Annals of Operations
Research, (with M.D. Gonzalez-Lima and R.M. Thrall).

The Solution of the Metric STRESS and SSTRESS Problems
in Multidimensional Scaling Using Newton's Method, to appear
in Computational Statistics (with A. Kearsley and
M. Trosset).

An Approach to Parallelizing Isotonic Regression, Applied
Mathematics and Parallel Computing: Festschrift for Klaus
Ritter, H. Fischer, B. Riedmuller, S. Schaffler (Editors),
Physica-Verlag, Heidelberg, (1996) 141-147 (with A.J. Kearsley
and M.W. Trosset).

On the Convergence Rate of Newton Interior-Point Methods
in the Absence of Strict Complementarity, Computational
Optimization and Applications, 6 (1996), 157-167 (with
A. El-Bakry and Y. Zhang).

An Interior-Point Method with Polynomial Complexity and
Superlinear Convergence for Linear Complementarity Problems,
(with J. Ji, F. Potra and Y. Zhang).

Perturbation Lemma for Newton's Method with Application
to the SQP Newton Method, Journal of Optimization Theory
and Applications, 8(1)(1998), (with D. Cores).

On Effectively Computing the Analytic Center of the Solution
Set by Primal-Dual Interior-Point Methods, SIAM Journal
on Optimization, 8(1)(1998), (with M. Gonzalez-Lima
and F. Potra).

A Robust Choice of the Lagrange Multiplier in the SQP
Newton Method, Investigacion Operativa, 7 (1,2)(1997),
(with D. Cores).

Assessing and Evaluating the Evaluation Tool - The Standardized
Test, Synthesis and Proceedings of the Third Annual NISE
Forum, Workshop Report No. 6, National Institute for
Science Education.

Computing an Exact Solution in Interior-Point Methods
for Linear Programming, Contemporary Mathematics,
252 (1999), 9-29 (withe P. Williams and A. El-Bakry).

On the Global Convergence of a Modified Augmented Lagrangian
Linesearch Interior- Point Newton Method for Nonlinear Programming,
Journal of Optimization Theory and Applications,
114 (1) (2001), (with M. Argaez).

Comparison of Two Sets of First-Order Conditions as Bases
of Interior-Point Newton Methods for Optimization with Simple
Bounds, Journal of Optimization Theory and Applications,
113 (1) (2002), (with D. Jamrog and Y. Zhang).

A Fast Newton‚s Method for Entropy Maximization in
Phase Determination, SIAM Review, 57 (6) (2002), 681-685,
(with Z. Wu, G. Phillips, and Y. Zhang).

The Local Behavior of Newton's Method on Two Equivalent
Systems from Linear Programming, Journal of OptimizationTheory and Applications, 112 (2) (2002), 239- 263,
(with C. Villalobos and Y. Zhang).

Selective Search for Global Optimization of Zero or Small
Residual Least-Squares Problems: A Numerical Study, Computational
Optimization and Applications, 20 (2001), 299-315, (with
L. Velazquez, G. Phillips, and Y. Zhang).

On Convergence of Minimization methods: Attraction, Repulsion
and Selection, Journal of Optimization Theory and Applications,
107 (2000), 529-546, (with Y. Zhang and L. Velazquez).

A Global Optimization Method for the Molecular Replacement
Problem in X-ray Crystallography, Mathematical Programming
B, (with D. Jamrog, G. Phillips, and Y. Zhang).

On Sizing and Shifting the BFGS Update within the Sized
Broyden Family of Secant Updates, Journal on Optimization,15
(1) (2004),139–160,(with H. Yabe and H.J. Martinez).

Quantification of Regional Ventilation from Treatment
Planning CT, Int. J. Radiation Oncology Biol. Phys.,
62 (3) (2005), 630-634, (with T. Guerrero, K. Sanders,
J. Noyola-Martinez, E. Castillo, Y. Zhang, R. Guerra,
Y. Borghero, and R. Komaki).

Inverse, Shifted Inverse, and Rayleigh Quotient Iteration
as the Projected Newton Method, (with J.E. Dennis).

An Algorithm Based on a Convenient Trust-Region Subproblem
for Nonlinear Programming, (with M.R. Celis and J.E. Dennis).

Global Convergence of a Primal-Dual Interior-Point Newton
Method for Nonlinear Programming Using a Modified Augmented
Lagrangian Function, (with M. Argaez).

An Inexact Trust-Region Feasible-Point Algorithm for Nonlinear
Systems of Equalities and Inequalities, (with M. El-Hallabi).

Computational Experience of an Augmented Lagrangian for
Nonlinear Programming as a Merit Function in a Primal-Dual
Interior-Point Method, (with Z. Parada).