Publications

  1. V. Roshchina and L. Tunçel, Facially Dual Complete (Nice) cones and lexicographic tangents, April 2017, optimization-online, arXiv:1704.06368
  2. W. Achtziger, R. Baier, E. Farkhi, V. Roshchina, Exact Penalty and Lagrange Duality via the Directed Subdifferential, forthcoming in Pure and Applied Functional Analysis (2017).
  3. A. Eberhard, V. Roshchina, T. Sang, Outer limits of subdifferentials for min-max type functions, January 2017, arXiv:1701.02852
  4. V. Roshchina, T. Sang, D. Yost, On the dimensions of faces of compact convex sets (2016), forthcoming in the proceedings of MATRIX Research Institute, arXiv:1610.02737
  5. Peña, J., Roshchina, V. On the Grassmann condition number, April 2016. arXiv:1604.04637
  6. Baier R., Farkhi, E., Roshchina, V., From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules, J. Optim. Theory Appl. 171, 384–401 (2016). arXiv:1507.00174
  7. Cucker, F., Peña, J., Roshchina, V., Solving second-order conic systems with variable precision. Math. Progr., 150, 217-250 (2015). arXiv:1104.1352v1
  8. Meng, K., Roshchina, V., Yang, X., On Local Coincidence of a Convex Set and its Tangent Cone. J. Optim. Theory Appl. 164, 123-137 (2014).
  9. Peña, J., Roshchina, V., Soheili, N., Some preconditioners for systems of linear inequalities. Optim. Lett., 8, 2145-2152 (2014). arXiv:1306.5287
  10. Plakhov, A., Roshchina, V., Bodies with mirror surface invisible from two points, Nonlinearity 27, 1193 (2014). arXiv:1304.4005
  11. Roshchina, V., Facially exposed cones are not always nice. SIAM J. Optim. 24, 257–268 (2014). arXiv:1301.1000
  12. Baier, R., Farkhi, E., Roshchina, V., Directed Subdifferentiable Functions and the Directed Subdifferential Without DC Structure, J. Optim. Theory Appl. 160, 391–414 (2014). arXiv:1212.1508
  13. Briquel, I., Cucker, F., Peña, J., Roshchina, V., Fast Computation of Zeros of Polynomial Systems with Bounded Degree under Finite-precision. Math.Comp. 83, 1279–1317 (2014) arXiv:1205.0869
  14. Plakhov A., Roshchina, V., Invisibility in billiards is impossible in an infinite number of directions. arXiv:1206.6965v1
  15. Plakhov A., Roshchina, V., Bodies invisible from one point. arXiv:1112.6167v1
  16. Peña, J., Roshchina, V., A Complementarity Partition Theorem for Multifold Conic Systems. Mathematical Programming 142, 579-589 (2013), arXiv:1108.0760v1
  17. Plakhov, A., Roshchina, V., Fractal bodies invisible in 2 and 3 directions, Discrete and Continuous Dynamical Systems A, 33, 1615-1631 (2012). arXiv:1107.5667v1
  18. Lakshtanov, E., Roshchina, V., Finiteness in the Card Game of War. The American Mathematical Monthly 119, 318-323 (2012). arXiv:1007.1371v1
  19. Baier, R., Farkhi, E., Roshchina, V., The Directed and Rubinov Subdifferentials of Quasidifferentiable Functions. Part I: Definition and Examples. Nonlinear Analysis, Volume 75, pp. 1074-1088.
  20. Baier, R., Farkhi, E., Roshchina, V., The Directed and Rubinov Subdifferentials of Quasidifferentiable Functions. Part II: Calculus. Nonlinear Analysis, Volume 75, pp. 1058-1073.
  21. Plakhov, A., Roshchina, V., Invisibility in billiards. Nonlinearity, Volume 24, pp. 847-854 (2011); arXiv:1009.1104
  22. Mordukhovich, B., Peña, J., Roshchina, V., Applying Metric Regularity To Compute Condition Measure of Smoothing Algorithm for Matrix Games. SIAM J. Optim. Volume 20, Issue 6, pp. 3490-3511 (2010); arXiv:1007.4458
  23. Baier, R., Farkhi, E., Roshchina, V., On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions. Variational Analysis and Generalized Differentiation in Optimization and Control. Optimization and Its Applications, Volume 47, pp. 59-93 (2010).
  24. Roshchina, V., Mordukhovich subdifferential of pointwise minimum of approximate convex functions. Optim. Methods Softw., Volume 25, Issue 1, February 2010, 129-141.
  25. Roshchina, V., Exact calculus of Fréchet subdifferentials for Hadamard directionally differentiable functions. Nonlinear Anal., Volume 69, Issue 4, 15 August 2008, 1112-1124.
  26. Li, D., Qi, L., Roshchina, V., A New Class of Quasi-Newton Updating Formulas. Optim. Methods Softw., Vol. 23 Issue 2, 237-249 (Apr 2008).
  27. Demyanov V.F., Roshchina V., Exhausters, optimality conditions and related problems. J. Global Optim., Vol. 40 No. 1-3, 71-83 (Mar 2008).
  28. Roshchina V.A., Reducing Exhausters. J. Optim. Theory Appl., Vol. 136, No. 2, 261-273 (Feb 2008).
  29. Demyanov V.F., Roshchina V., Exhausters and subdifferentials in Nonsmooth Analysis. Optimization, Vol. 57 No 1, 41-56 (Feb 2008).
  30. Roshchina V.A., On Conditions for the Minimality of Exhausters. J. Convex Anal. Vol. 15, No. 4 (2008).
  31. Demyanov, V.F., Roshchina, V., Generalized Subdifferentials and Exhausters in Nonsmooth Analysis. Translation from Russian in Doklady. Mathematics, Vol. 76, No. 2, 652-655
  32. Roshchina, V., Relationships between upper exhausters and the basic subdifferential in Variational Analysis. J. Math. Anal. Appl., 334 261-272 (2007).
  33. Demyanov, V.F., Roshchina, V., Generalized Subdifferentials and Exhausters. Vladikavkaz Mathematical Journal, Vol. 8, No. 4 (2006) (in Russian)
  34. Demyanov V.F., Roshchina V.A. Optimality conditions in terms of upper and lower exhausters. Optimization, Vol. 55, No. 5-6, 525-540 (Oct-Dec 2006).
  35. Demyanov V.F., Roshchina V.A. Constrained Optimality Conditions in Terms of Proper and Adjoint Exhausters. Appl. Comput. Math.,Vol. 4, No. 2, 144-124 (2005).