. . "V pr\u00E1ci jsou pops\u00E1ny v\u00FDsledky autor\u016F v oblas ti v\u00FDvoje asymptoticky optim\u00E1ln\u00EDch algoritm\u016F pro \u0159e\u0161en\u00ED \u00FAloh kvadratick\u00E9ho programov\u00E1n\u00ED"@cs . "Quadratic Programming and Scalable Algorithms for Variational Inequalities" . . "27240" . "RIV/61989100:27240/06:00013630" . "Dost\u00E1l, Zden\u011Bk" . "Quadratic Programming and Scalable Algorithms for Variational Inequalities"@en . "Stefanica, Dan" . "Kvadratick\u00E9 programov\u00E1n\u00ED a \u0161k\u00E1lovateln\u00E9 algoritmy pro varia\u010Dn\u00ED nerovnice"@cs . "3"^^ . "3-540-34287-7" . . . "[924AFC2B20ED]" . "2"^^ . . "RIV/61989100:27240/06:00013630!RIV07-GA0-27240___" . . "We first review our recent results concerning optimal algorithms for the solution of bound and/or equality constrained quadratic programming problems. The unique feature of these algorithms is the rate of convergence in terms of bounds on the spectrum of the Hessian of the cost function. Then we combine these estimates with some results on the FETI method (FETI-DP, FETI and Total FETI) to get the convergence bounds that guarantee the scalability of the algorithms. i.e. asymptotically linear complexity and the time of solution inverse proportional to the number of processors. The results are confirmed by numerical experiments." . "P(GA101/04/1145)" . "Quadratic Programming and Scalable Algorithms for Variational Inequalities"@en . "We first review our recent results concerning optimal algorithms for the solution of bound and/or equality constrained quadratic programming problems. The unique feature of these algorithms is the rate of convergence in terms of bounds on the spectrum of the Hessian of the cost function. Then we combine these estimates with some results on the FETI method (FETI-DP, FETI and Total FETI) to get the convergence bounds that guarantee the scalability of the algorithms. i.e. asymptotically linear complexity and the time of solution inverse proportional to the number of processors. The results are confirmed by numerical experiments."@en . "Quadratic Programming and Scalable Algorithms for Variational Inequalities" . "Quadratic programming; variational inequalities; optimal algorithms"@en . "Numerical Mathematics and Advanced Applications - ENUMATH 2005" . . "Springer-Verlag" . . "496144" . . "Berlin" . "Kvadratick\u00E9 programov\u00E1n\u00ED a \u0161k\u00E1lovateln\u00E9 algoritmy pro varia\u010Dn\u00ED nerovnice"@cs . . . . "16"^^ . "Hor\u00E1k, David" . "61-76" . . . .