Florian A. Potra
office phone: (410)455-2429
secretary: (410)455-2412
fax: (410)455-1066
e-mail:
potra@umbc.edu
Google Scholar page
Full vita in pdf .
Short vita in pdf .
Areas of research interest:
- Robotics.
- Numerical Optimization.
- Numerical solution of nonlinear differential and integral
equations.
- Applied functional analysis.
- Numerical algorithms for parallel computers.
- Bioinformatics.
Editorship
- Associate Editor, SIAM Journal on Optimization (1991-1999),
- Associate Editor, Journal of Optimization Theory and Applications
(since 1991),
- Regional Editor for the Americas, Optimization Methods and
Software (since 1997)
- Associate Editor,
Numerical Functional Analysis and Optimization (since 1999).
- Associate Editor,
Optimization and Engineering (since 1999).
Honors
- National award for best research paper in mathematics of a Romanian college
student, 1972.
- Andrew Mellon Postdoctoral Fellowship, 1982.
Old Gold Fellowship, 1984.
- James Van Allen Fellowship in Natural Sciences, 1991.
- Professional Engineering Publishing Award of the Editorial Board
of Journal of Multi-body Dynamics, 2003.
Teaching Spring 2017
MATH 221
MATH 710
Recent Presentations in PDF:
Interior Point Methods
Protein Image Alignment via
Quadratic Programming
Research Summary (1994-2010) in pdf.
An NSF Workshop on Mathematics and Robotics
pdf.
Software
Click here
to download KPP - a kinetic preprocessor for atmospheric chemistry.
OOLCP, an object oriented solver for linear complementarity problems:
documentation
and
software
A Mathematica notebook for generating and solving weighted complementary problems. If have
Mathematica installed on your computer,
click here
to download it, save the file as wcp.nb and open it in Mathematica
Selected Publications
F.A. Potra and S.J. Wright: Interior-point methods,
Journal of Computational and
Applied Mathematics, 124(2000), 281--302.
pdf
F.A. Potra: Q-superlinear convergence of the iterates in primal-dual
interior-point methods, Mathematical Programming, Ser. A, 91(2001),
99--115. pdf
M. Anitescu and F.A. Potra: A time-stepping method for stiff multibody dynamics
with contact and friction , International J. Numer. Methods
Engineering, 55, 7(2002), 753--784 pdf
F.A. Potra: The Mizuno-Todd-Ye algorithm in a larger neighborhood of
the central path, European Journal of Operational Research, 143(2002),
257--267.
pdf
A. Sandu, D. Negrut, E.J. Haug, F.A. Potra and C. Sandu) A
Rosenbrock-Nystrom State Space Implicit Approach for the Dynamic
Analysis of Mechanical Systems: {I} -- Theoretical Formulation,
Journal of Multi-body Dynamics, (2003), 217, 4(2003), 263--271.
pdf
D. Negrut, A. Sandu, E.J. Haug, F.A. Potra and C. Sandu) A
Rosenbrock-Nystrom State Space Implicit Approach for the Dynamic
Analysis of Mechanical Systems: {II} -- The Method and Numerical
Examples, Journal of Multi-body Dynamics, (2003), 217, 4(2003),
273--281. pdf
F.A. Potra: A superlinearly convergent predictor-corrector method for degenerate LCP
in a wide neighborhood of
the central path with $O(\sqrt{n}L)$-iteration complexity,
Mathematical Programming,
Ser. A, 100, 2(2004), 317--337. CORRECTED: February, 2006.
pdf
F.A. Potra: The Kantorovich Theorem and interior point methods,
Mathematical Programming, Ser. A, 102, 1(2005), 47--70.
pdf
F.A. Potra and X. Liu: Predictor-corrector methods for sufficient linear
complementarity problems in a wide neighborhood of
the central path, Optimization Methods and Software,
20, 1 (2005), 145--168, CORRECTED: March 2006. PDF
X. Liu and F.A. Potra: Corrector-predictor methods for sufficient linear
complementarity problems in a wide neighborhood of the central
path, SIAM Journal on Optimization, 17, 3(2006), 871--890. PDF
F.A. Potra, X. Liu, F. Seillier-Moiseiwitsch, A. Roy, Y. Hang, M. R.
Marten, B, Raman, and C. Whisnant: Protein Image Alignment via
Piecewise Affine Transformations. PDF
F.A. Potra and X. Liu: Aligning families of 2D-gels by a combined
hierarchical forward-inverse transformation approach, Journal of
Computational Biology, 13, 7(2006), 1384--1395. PDF
F.A. Potra and X. Liu:
Protein Image Alignment via Tensor Product Cubic Spline, Optimization Methods and Software, 22, 1(2007), 155--168. PDF
D.E. Gilsinn and F.A. Potra: Integral operators and delay differential
equations, Journal of Integral Equations and Applications, 18,
3(2006), 297--336. PDF
F.A. Potra, M. Anitescu, B. Gavrea and J. Trinkle:
A linearly implicit trapezoidal method for integrating stiff multibody dynamics with
contact, joints and friction, International Journal for Numerical
Methods in Engineering, 66, 2006, 1079--1124. PDF
F.A. Potra: Primal-dual affine scaling interior point methods for linear
complementarity problems, SIAM Journal on Optimization, 19, 1(2008),
114--14 PDF
B. Gavrea, M. Anitescu and F.A. Potra: Convergence of a class of
semi-implicit time-stepping schemes for nonsmooth rigid multibody
dynamics, Preprint ANL/MCS-1378-1006 PDF
F.A. Potra: Corrector--predictor methods for monotone linear complementarity
problems in a wide neighborhood of the central path, Mathematical
Programming, Ser. B, 111, 1-2(2008), 243--272. PDF
F.A. Potra and J. Ji: On the probabilistic complexity of finding an
approximate solution for linear programming, Journal of Complexity,
24, 2(2008), 214--227. PDF
C. Petra, B. Gavrea, M. Anitescu and F.A. Potra:
A computational study of the use of an optimization-based method for simulating large
multibody systems, Optimization Methods \& Software, 24, 6(2009), 871--894.
PDF
F. Maggioni, F.A. Potra, M. Bertocchi and E. Allevi: Stochastic
second-order cone programming in mobile ad hoc networks,
Journal of Optimization Theory and Applications, 143(2009) 309–-328.
PDF
F.A. Potra and J. Stoer: On a class of superlinearly convergent
polynomial time interior point methods for sufficient LCP,
SIAM Journal on Optimization, 20, 3(2009), 1333--1363.
PDF
F.A. Potra and E. Simiu: Optimization and multi-hazard structural design,
Journal of Engineering Mechanics, 135, 12(2009), 1472--1475.
PDF
F.A. Potra and E. Simiu: Multihazard Design: Structural Optimization
Approach, Journal of Optimization Theory and Applications, 144, 2010, 120--136.
PDF
S. Al-Homidan, M.M. Alshahrani, C.G. Petra and F.A Potra:
Minimal condition number for positive definite Hankel matrices using semidefinite programming, Linear Algebra and Its Applications, 433, 6(2010), 1101--1109.
PDF
F. Gurtuna, C. Petra, F.A. Potra, O. Shevchenko and A. Vancea:
Corrector-predictor methods for sufficient linear complementarity
problems, Computational Optimization and Applications, 48, 3(2011), 453--485.
PDF
F.A. Potra: Weighted complementarity problems - a new paradigm for computing equilibria, SIAM Journal on Optimization, 22, 4(2012), 1634–-1654.
PDF
F.A. Potra and H. Engler:
A characterization of the behavior of the Anderson acceleration on linear problems,
Linear Algebra and its Applications,
438, 3(2013), 1002 -- 1011.
PDF
F. Maggioni, F.A. Potra and M. Bertocchi)
Optimal kinematics of a looped filament, Journal of Optimization Theory and Applications, 159, 2(2013), 489--506.
PDF
F.A. Potra: Interior Point Methods for Sufficient Horizontal LCP in a Wide Neighborhood of the Central Path with Best Known Iteration Complexity, SIAM Journal on Optimization 24, 1(2014), 1–-28.
PDF
D. Yeo and F.A. Potra: Sustainable Design of Reinforced Concrete Structures through CO2 Emission Optimization, Journal of Structural Engineering, 141, 3(2015), B4014002-1--7.
PDF
F.A. Potra: Sufficient weighted complementarity problems, Computational Optimization and
Applications, 64, 2(2016), 467--488.
PDF