University of Arkansas at Pine Bluff

Dr. Ivan Raykov

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dr-ivan-raykovDr. Ivan Raykov
Assistant Professor
870-575-8784
raykovi@uapb.edu

Professional Preparation:

Ph.D.: Sofia University/Bulgarian Academy of Sciences (Institute of Mathematics) 2000
MSc: Sofia University

Experience:

  • 2013-Present Department of Mathematics and Computer Science, University of Arkansas at Pine Bluff, AR
  • 2009-2013 Visiting Lecturer, Colorado State University Pueblo
  • 2008-2009 Visiting Lecturer, Ohio State University at Newark
  • 2005-2008 Visiting Professor, Ohio University Athens
  • 2002-2005 Visiting Professor, The University of Toledo
  • 2001-2002 Visiting Professor, Arizona State University Tempe
  • 1993-2001 Assistant Professor, Technical University of Varna, Bulgaria

Publications and Projects

Selected Publications:

  • Nashed Z. and Raykov I., Applications of Fitzpatrick functions for solving optimization problems,
    Application of Mathematics in Technical and Natural Sciences, American Institute of Physics (AIP),
    AMiTaNS’12, Conf. Proc. 1487, 201-206, 2012.
  • Raykov I. Necessary Conditions for a Fixed point of Maps in Non-Metric Spaces, Advances in
    Pure Mathematics (APM), Vol.2, No.6, 371-372, 2012.
  • N. Pavel, E. Polak, and I. Raykov, Quasi-Consistent Approximation of Effective Diagonalization
    Strategies for the Solution of a Class of Optimal Design Problems; Nonlinear Functional Analysis
    and Applications (NFAA),Vol.14(3), 421-438, 2009
  • Pavel N. and Raykov I., Parametric proximal-point methods, Journal of Optimization Theory and
    Applications (JOTA), Vol. 139, No. 1, 85-107, 2008.
  • Constantin E., Pavel N. and Raykov I., Optimization problems in some critical cases via tangential
    cones, Advances in Mathematical Sciences and Applications (AMSA), Vol.18, No.1, 251-267, 2008.
  • Pavel N., Polak E., and Raykov I., Quasi-Consistent Approximation Algorithm, International Journal
    of Engineering Mathematics: Theory and Applications (IeJEMTA), Vol. 4, 123-130, 2008.
  • De Marchi S. and Raykov I., Parametric method for global optimization, Journal of Optimization Theory and Applications (JOTA),Vol. 130, No. 3, 411-430, 2006.
  • Raykov I. and Ivanov R., A parametric Newton method for optimization problems in Hilbert spaces, Numerical Functional Analysis and Optimization (NFAO), Vol.24, Nos. 3&4, 243-255, 2003.
  • Raykov I., Uniform convergence for multi-valued algorithms, Indian Journal of Pure and Applied Mathematics (IJPAM), Vol. 28(11): 1491-1504, 1997.
  • Ivanov R.and Raykov I., Parametric Lyapunov function method for solving nonlinear systems in Hilbert spaces, Numerical Functional Analysis and Optimization (NFAO), Vol. 17, 893-901, 1996.

Significant Projects and Products:

Many of my publications are results of cooperative projects.

  • N. Pavel, E. Polak, and I. Raykov, Quasi-Consistent Approximation of Effective Diagonalization Strategies for the Solution of a Class of Optimal Design Problems.
  • Constantin E., Pavel N. and Raykov I., Optimization problems in some critical cases via tangential cones.
  • De Marchi S. and Raykov I., Parametric method for global optimization, NATO project 2002.
  • Raykov I., Ivanov R., A parametric Newton method for optimization problems in Hilbert spaces.

Synergistic Activities:

Undergraduate and Graduate Mentoring: When I worked in the Technical University of Varna, I supervised many applied projects with undergraduate and graduate students. Some of the projects are:

  • Electrical regime of rarefied gas source of light in the presence of nonlinear induction in the starting regulating apparatus, with program realization, A numerical method for the calculation of improvement of the surface of the bearings of a large scale lathe used in the machining of ship axles with program realization.
  • An algorithm for the determination of the intensities of the attraction between the inductors and the armatures of multi-armature induction engines by using of substituting circuits, with program realization.
  • Statistical method, used for optimization, with program realization.
  • An algorithm solving the integer programming problems, with program realization.

New Course preparation: I prepare now a book for a course: Numerical methods for STEM.

Grants:

  • TEMPUS Grant (EU Teaching Grant) – IMG-BG-2003-94, cooperation with Professor Ross MacMillan, School of Computing and Management Sciences, Sheffield Hallam University, UK, March 1996 – July 1996 for $ 7000. * NATO Outreach Fellowship – Mathematics Ann. No. 219.33, Global Optimization and Applications, cooperation with Professor Stefano De Marchi, Department of Computer Science, University of Verona, Italy, 2002 for $ 20 000.
  • 2011-12 Faculty Development Grant from the Faculty Development Fund, Colorado State University – Pueblo, Applications of Fitzpatrick functions for solving optimization problems, presented at AMiTaNS’12, for $ 500.

Software Developed:

My program, which is solving unconstrained global optimization problems, is included in the optimization package of Professor Hans Mittelmann from Arizona State University: ftp://plato.asu.edu/pub/other\_software/
with a link to it on: http://plato.la.asu.edu/topics/problems/global.html

Collaborators & Other Affiliations

Collaborators:

  • Dr. Zuhair Nashed, Department of Mathematics, University of Central Florida
  • Dr. Elijah Polak, Electrical Engineering and Computer Science Department, College of Engineering, University of California, Berkeley,
  • Dr. Nicolae Pavel, Department of Mathematics, Ohio University, Athens.
  • Dr. Stefano De Marchi, Department of Computer Science, University of Verona, Italy.

GRADUATE AND POSTDOCTORAL ADVISORS:

  • D.Sc. Radostin Ivanov – Ph.D. Advisor, Sofia University/Bulgarian Academy of Sciences (Institute of Mathematics)