Emil Catinas

Address:

"Tiberiu Popoviciu" Institute of Numerical Analysis
P.O.Box. 68-1, Cluj-Napoca, ROMANIA
Phone/fax: ++40-264-582207

Academic degree:

Ph.D. in Mathematics (1999)

Current position:

Head of "Tiberiu Popoviciu" Institute of Numerical Analysis (ICTP)

Senior researcher (I) at ICTP

Domains of research:

Current:

• Nonlinear problems
• iterative methods of Newton type
• Newton, Newton-Krylov, Newton-type methods for numerical solving of nonlinear systems of equations in Rⁿ; numerical tests in Matlab and C for these methods
• iterative methods for solving nonlinear equations in Banach spaces
• successive approximations for fixed points: local convergence, stability, acceleration techniques
• Numerical Linear Algebra
  • Krylov methods for solving large linear systems in Rⁿ
  • Iterative methods (Newton, Chebyshev, etc.) for numerical solving of eigenproblems
  • Numerical tests in Matlab and C for the above methods

Past:

• Computer graphics

Recent papers:

• (with I. Pavaloiu), On a Steffensen-Hermite method of order three, Applied Mathematics and Computation, 215 (2009) 7, pp. 2663-2672 (tech. rep. here).
• Estimating the radius of an attraction ball, Applied Mathematics Letters, 22 (2009) no. 5, pp. 712-714, (technical report here).
• The inexact, inexact perturbed and quasi-Newton methods are equivalent models, Math. Comp., 74 (2005) no. 249, pp. 291-301 (tech. rep. here).
• On the superlinear convergence of the successive approximations method, J. Optim. Theory Appl., 113 (2002) no. 3, pp. 473-485 (tech. rep. here).
• Inexact perturbed Newton methods and applications to a class of Krylov solvers, J. Optim. Theory Appl., 108 (2001) no. 3, pp. 543-570 (tech. rep. here).