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65Y20 Complexity and performance of numerical algorithms (21 articles)

• Carson, Erin Claire: An adaptive $s$-step conjugate gradient algorithm with dynamic basis updating. (English). Applications of Mathematics, vol. 65 (2020), issue 2, pp. 123-151
• Augusta, Petr; Augustová, Petra: A fast numerical test of multivariate polynomial positiveness with applications. (English). Kybernetika, vol. 54 (2018), issue 2, pp. 289-303
• Kósa, Balázs; Haličková-Brehovská, Jana; Mikula, Karol: New efficient numerical method for 3D point cloud surface reconstruction by using level set methods. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 387-396
• Kautsky, Jaroslav: Factorization makes fast Walsh, PONS and other Hadamard-like transforms easy. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 100-109
• Vlček, Jan; Lukšan, Ladislav: A modified limited-memory BNS method for unconstrained minimization derived from the conjugate directions idea. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 237-243
• Lukšan, Ladislav; Vlček, Jan: Nonlinear conjugate gradient methods. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 130-135
• Mlýnek, Jaroslav; Srb, Radek; Knobloch, Roman: The use of graphics card and nVidia CUDA architecture in the optimization of the heat radiation intensity. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 150-155
• Fischer, Cyril: Massive parallel implementation of ODE solvers. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 75-80
• Vlček, Jan; Lukšan, Ladislav: Modifications of the limited-memory BFGS method based on the idea of conjugate directions. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 209-214
• Tang, Jingyong; He, Guoping; Dong, Li; Fang, Liang: A new one-step smoothing newton method for second-order cone programming. (English). Applications of Mathematics, vol. 57 (2012), issue 4, pp. 311-331
• Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan: Robust preconditioners for the matrix free truncated Newton method. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 137-151
• Gavalec, Martin; Zimmermann, Karel: Solving systems of two–sided (max, min)–linear equations. (English). Kybernetika, vol. 46 (2010), issue 3, pp. 405-414
• Fang, Liang; He, Guoping; Sun, Li: A globally convergent non-interior point algorithm with full Newton step for second-order cone programming. (English). Applications of Mathematics, vol. 54 (2009), issue 5, pp. 447-464
• Balazovjech, Martin; Halada, Ladislav: Effective computation of restoring force vector in finite element method. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 767-776
• Strouboulis, Theofanis; Hidajat, Realino: Partition of unity method for Helmholtz equation: $q$-convergence for plane-wave and wave-band local bases. (English). Applications of Mathematics, vol. 51 (2006), issue 2, pp. 181-204
• Hackbusch, Wolfgang; Grasedyck, Lars; Börm, Steffen: An introduction to hierarchical matrices. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 229-241
• Hackbusch, Wolfgang; Grasedyck, Lars; Börm, Steffen: An introduction to hierarchical matrices. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 101-111
• Hackbusch, W.; Sauter, S.: A new finite element approach for problems containing small geometric details. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 105-117
• Rohn, Jiří: Checking positive definiteness or stability of symmetric interval matrices is NP-hard. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 795-797
• Lovász, László: Nový pohled na algoritmickou matematiku. (Czech) [A new approach to algorithmic mathematics]. Pokroky matematiky, fyziky a astronomie, vol. 35 (1990), issue 1, pp. 12-22
• Veselý, Vítězslav: Algebraic theory of fast mixed-radix transforms. II. Computational complexity and applications. (English). Archivum Mathematicum, vol. 26 (1990), issue 1, pp. 19-26