Vladimir Kostić je diplomirao iz oblasti primenjene matematike 2003. god. na Departmanu za matematiku i informatiku Univerziteta u Novom Sadu, gde je i magistrirao 2009. god. i doktorirao 2010. Post-doktorsko usavršavanje je završio na Tehničkom univerzitetu u Belinu, Nemačka 2013/14. godine.
Od 2004. god. na Prirodno-matematičkom fakultetu Univerziteta u Novom Sadu radi kao asistent, potom od 2011. kao docent i od 2016. kao vanredni profesor. Osim toga, angažovan je na Fakultetu tehničkih nauka Univerziteta u Novom Sadu kao profesor i kao mentor na doktorskim studijama, gde je bio do sada mentor jedne odbranjene doktorske teze i dve teze koje su u završnom procesu odbrane.
Za svoja naučna dostignuća primio je sledeća priznanja: BMS Einstein Foundation Fellowship at the Technical University of Berlin (2013), 1st Young Scientists Award for a talk given on MATTRIAD 2007 Conference, Będlewo, Poland (2007), The Best Student of the University of Novi Sad Award (2004), Serbia The Honor Mileva Maric-Einstein of the University of Novi Sad (2004), Fellowship of the Fund of the Royal House of Karađorđević (2003), Award of High Academic Achievements by the Embassy of the Kingdom of Norway in Serbia (2002), The Annual University Honors, University of Novi Sad (2001-2003) <\eng>.
Pored objavljenih naučnih radova u visoko kotiranim međunarodnim časopisima, koautor je 3 priručnika za studente i jedne monografije. Predavanja po pozivu je održao na osam naučnih institucija širom sveta, učestovao je na preko 40 konferencija u okviru kojih je održao 5 izlaganja po pozivu.
Bio je sekretar organizacionog odbora šest međunarodnih skupova. Urednik dva časopisa Newsletter of the European Mathematical Society i PAMM, Wiley VCH, Online ISSN: 1617–7061 Special Issue: 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013 (12/2013).
Član je društva ILAS (International Linear Algebra Society)<\eng>, društva GAMM (Gesselshaft fur Angewandte Mathematik und Mechanik), European Mathematical Society<\eng> i Society of Industrial and Applied Mathematics (SIAM)<\eng>.
(M21a) Rad u međunarodnom časopisu izuzetnih vrednosti
Cvetković Lj., Kostić V., Doroslovački K., Cvetković D.: Euclidean norm estimates of the inverse of some special block matrices, Applied Mathematics and Computation, 2016, Vol. 284, pp. 12-23, ISSN 0096-3003
(M21a) Rad u međunarodnom časopisu izuzetnih vrednosti
Cvetković Lj., Mihailović D., Kostić V., Mimić G.: Stability analysis of turbulent heat exchange over the heterogeneous environmental interface in climate models, Applied Mathematics and Computation, 2015, Vol. 265, pp. 79-90, ISSN 0096-3003
(M21a) Rad u međunarodnom časopisu izuzetnih vrednosti
Kostić V., Gardašević D.: On the Gersgorin-type localizations for nonlinear eigenvalue problems, Applied Mathematics and Computation, 2018, Vol. 337, No 1, pp. 179-189, ISSN 0096-3003
(M21a) Rad u međunarodnom časopisu izuzetnih vrednosti
Cvetković Lj., Kostić V.: On the inertia of the block H-matrices , Numerical Linear Algebra with Applications, 2017, Vol. 24, No 5, pp. 1-12, ISSN 1099-1506
(M21a) Rad u međunarodnom časopisu izuzetnih vrednosti
Kostić V., Miedlar A., Stolwijk J.: On matrix nearness problems: distance to delocalization, SIAM Journal on Matrix Analysis and Applications / Society for Industrial and Applied Mathematics, 2015, Vol. 36, No 2, pp. 435-460, ISSN 0895-4798
(M21a) Rad u međunarodnom časopisu izuzetnih vrednosti
Cvetković Lj., Kostić V., Pena J.: Eigenvalue localization refinements related to positivity, SIAM Journal on Matrix Analysis and Applications / Society for Industrial and Applied Mathematics, 2011, Vol. 32, No 3, pp. 771-784, ISSN 0895-4798
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V., Šanca E.: Fractional pseudospectra and their localizations, Linear Algebra and Its Applications, 2018, ISSN 0024-3795
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V., Šanca E.: A wider convergence area for MSTMAOR iteration methods for LCP, Numerical algorithms, 2016, Vol. 71, No 1, pp. 77-88, ISSN 1017-1398
(M21) Rad u vrhunskom međunarodnom časopisu
Mihailović D., Kostić V., Balaž I., Kapor D.: Computing the Threshold of the Influence of Intercellular Nanotubes on Cell-to-Cell Communication Integrity, Chaos Solitons & Fractals, 2016, Vol. 91, pp. 174-179, ISSN 0960-0779
(M21) Rad u vrhunskom međunarodnom časopisu
Kostić V.: On general principles of eigenvalue localisations via diagonal dominance, Advances in Computational Mathematics, 2015, Vol. 41, No 1, pp. 55-75, ISSN 1019-7168, 1572-9044
(M21) Rad u vrhunskom međunarodnom časopisu
Kostić V., Miedlar A., Cvetković Lj.: An algorithm for computing minimal Geršgorin sets, Numerical Linear Algebra with Applications, 2016, Vol. 23, No 2, pp. 272-290, ISSN 1099-1506
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V., Cvetković D.: Pseudospectra localizations and their applications, Numerical Linear Algebra with Applications, 2016, Vol. 23, No 2, pp. 356-372, ISSN 1099-1506
(M21) Rad u vrhunskom međunarodnom časopisu
Kostić V., Aleksić J., Žigić M.: Spectrum localizations for matrix operators on lp spaces, Applied Mathematics and Computation, 2014, Vol. 249, pp. 541-553, ISSN 0096-3003
(M21) Rad u vrhunskom međunarodnom časopisu
Kostić V., Cvetković Lj., Balaž I., Mihailović D.: Complexity and asymptotic stability in the processof biochemical substance exchange in a coupled ring of cells, Chaos Solitons & Fractals, 2014, Vol. 65, pp. 30-43, ISSN 0960-0779
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V.: A note on the convergence of the MSMAOR method for linear complementarity problems, Numerical Linear Algebra with Applications, 2014, Vol. 21, pp. 534-539, ISSN 1099-1506
(M21) Rad u vrhunskom međunarodnom časopisu
Kostić V., Hadjidimos A., Cvetković Lj.: On the choice of parameters in MAOR type splitting methods for the linear complementarity problem, Numerical algorithms, 2014, Vol. 67, No 4, pp. 793-806, ISSN 1017-1398
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V.: Application of generalized diagonal dominance in wireless sensor network optimization problems, Applied Mathematics and Computation, 2012, Vol. 218, No 9, pp. 4798-4805, ISSN 0096-3003
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V., Doroslovački K.: Max-norm bounds for the inverse of S-Nekrasov matrices, Applied Mathematics and Computation, 2012, Vol. 218, No 18, pp. 9498-9503, ISSN 0096-3003
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V., Varga R.: Localization of Generalized Eigenvalues by Cartesian Ovals, Numerical Linear Algebra with Applications, 2012, Vol. 19, No 4, pp. 728-741, ISSN 1099-1506
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Bru R., Kostić V., Pedroche F.: A simple generalization of Gersgorin's theorem , Advances in Computational Mathematics, 2011, Vol. 35, pp. 271-280, ISSN 1019-7168, 1572-9044
(M21) Rad u vrhunskom međunarodnom časopisu
Rafael B., Cvetković Lj., Kostić V., Francisco P.: Sums of Σ-strictly diagonally dominant matrices., Linear and Multilinear Algebra, 2010, Vol. 58, No 1, pp. 75-78, ISSN 0308-1087
(M21) Rad u vrhunskom međunarodnom časopisu
Bru R., Cvetković Lj., Kostić V., Pedroche F.: Sums of Σ-strictly diagonally dominant matrices , Linear and Multilinear Algebra, 2010, Vol. 58, No 1, pp. 75-78, ISSN 0308-1087
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V., Rauški S.: A new subclass of H-matrices , Applied Mathematics and Computation, 2009, Vol. 208, pp. 206-210, ISSN 0096-3003
(M21) Rad u vrhunskom međunarodnom časopisu
Kostić V., Cvetković Lj., Varga R.: Geršgorin-type localizations of generalized eigenvalues, Numerical Linear Algebra with Applications, 2009, Vol. 16, No 11-12, pp. 883-898, ISSN 1099-1506
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V., Kovačević M., Szulc T.: Further results on H-matrices and their Schur complements, Applied Mathematics and Computation, 2008, Vol. 198, No 2, pp. 506-510, ISSN 0096-3003
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V.: A note on the convergence of the AOR method , Applied Mathematics and Computation, 2007, Vol. 194, No 2, pp. 394-399, ISSN 0096-3003
(M21) Rad u vrhunskom međunarodnom časopisu
Cvetković Lj., Kostić V.: Between Gersgorin and minimal Gersgorin sets, Journal of Computational and Applied Mathematics, 2006, Vol. 196, No 2, pp. 452-458, ISSN 0377-0427
Cvetković Lj., Kostić V.: New criteria for identifying H-matrices, Journal of Computational and Applied Mathematics, 2005, Vol. 180, No 2, pp. 265-278, ISSN 0377-0427
(M22) Rad u istaknutom međunarodnom časopisu
Varga R., Cvetković Lj., Kostić V.: Approximation of the minimal Geršgorin set of a square complex matrix , ETNA (Electronic Transactions on Numerical Analysis), 2008, Vol. 30, pp. 398-405, ISSN 1068-9613
(M22) Rad u istaknutom međunarodnom časopisu
Bru R., Cvetković Lj., Kostić V., Pedroche F.: Characterization of α1 and α2-matrices., Central European Journal of Mathematics, 2010, Vol. 8, No 1, pp. 32-40, ISSN 1895-1074
(M23) Rad u međunarodnom časopisu
Cvetković Lj., Kostić V., Varga R.: A new Geršgorin-type eigenvalue inclusion set, Electronic Transactions on Numerical Analysis, 2004, Vol. 18, pp. 73-80, ISSN 1068-9613
(M23) Rad u međunarodnom časopisu
Cvetković Lj., Kostić V.: New subclasses of block H-matrices with applications to parallel decomposition-type relaxation methods, Numerical algorithms, 2006, Vol. 42, No 3-4, pp. 325-334, ISSN 1017-1398