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:

    Editorship

    Honors

    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