"Numerical solutoin of algebraic equation"@en . "RIV/00216305:26220/10:PR24907" . . "Walek, Petr" . "[F809479A7070]" . "Numerick\u00E9 \u0159e\u0161en\u00ED algebraick\u00E9 rovnice" . . "Algebraic equation, polynomial, roots of polynomial, Schur method, Graeffe-Lobachevsky method."@en . . . . . "http://www.ubmi.feec.vutbr.cz/vyzkum-a-vyvoj/produkty \u00DAstav biomedic\u00EDnsk\u00E9ho in\u017Een\u00FDrstv\u00ED, Vysok\u00E9 u\u010Den\u00ED technick\u00E9 v Brn\u011B, Kolejn\u00ED 2906/4, 612 00 Brno, \u010Cesk\u00E1 republika" . . "S, Z(MSM0021630513)" . . . . . "Numerical solutoin of algebraic equation"@en . "Program vyu\u017E\u00EDv\u00E1 numerick\u00FDch metod k hled\u00E1n\u00ED \u0159e\u0161en\u00ED algebraick\u00FDch rovnic. Pro zadan\u00FD polynom program vypo\u010Dte interval, ve kter\u00E9m se ko\u0159eny nach\u00E1zej\u00ED a pomoc\u00ED Descartesovy v\u011Bty odhadne po\u010Det kladn\u00FDch a z\u00E1porn\u00FDch ko\u0159en\u016F. N\u00E1sledn\u011B je pomoc\u00ED Sturmovy posloupnosti odhadnut po\u010Det re\u00E1ln\u00FDch ko\u0159en\u016F na p\u0159edem vypo\u010Dten\u00E9m intervalu. Pomoc\u00ED Graeff-Loba\u010Devsk\u00E9ho metody jsou ur\u010Deny polohy ko\u0159en\u016F zadan\u00E9ho polynomu. Tato metoda dok\u00E1\u017Ee spolehliv\u011B odhadnout ko\u0159eny, pouze pokud polynom m\u00E1 nejv\u00FD\u0161e jeden komplexn\u00ED ko\u0159en. Poloha ko\u0159en\u016F je ur\u010Dena tak\u00E9 pomoc\u00ED Schurovy metody. Tato metoda dok\u00E1\u017Ee ur\u010Dit jak\u00FDkoliv po\u010Det imagin\u00E1rn\u00EDch ko\u0159en\u016F a dok\u00E1\u017Ee vyhled\u00E1vat i ko\u0159eny komplexn\u00EDch polynom\u016F."@cs . "Numerick\u00E9 \u0159e\u0161en\u00ED algebraick\u00E9 rovnice"@cs . "Kol\u00E1\u0159, Radim" . . "\u0158e\u0161en\u00ED algebraick\u00FDch rovnic" . "3"^^ . . "Numerick\u00E9 \u0159e\u0161en\u00ED algebraick\u00E9 rovnice"@cs . "275718" . . . . "26220" . . "Program uses numerical methods for searching solution of algebraic equation. It determines an interval in which roots occurs. By means of Descart theorem it estimates a number of positive and negative roots. Consequently is estimated number of real roots by means of Sturm sequence. Certain location of roots is determined by Graeffe-Lobachevsky method. Results of this method is reliable only for polynomials which have at most one complex root. Locations of roots are also determined by Schur method. This method can determine arbitrary amount of complex roots and also can work with complex-valued polynomials."@en . "Numerick\u00E9 \u0159e\u0161en\u00ED algebraick\u00E9 rovnice" . "Walczysko, Martin" . . "3"^^ . "RIV/00216305:26220/10:PR24907!RIV11-MSM-26220___" . . . . . "Program vyu\u017E\u00EDv\u00E1 numerick\u00FDch metod k hled\u00E1n\u00ED \u0159e\u0161en\u00ED algebraick\u00FDch rovnic. Pro zadan\u00FD polynom program vypo\u010Dte interval, ve kter\u00E9m se ko\u0159eny nach\u00E1zej\u00ED a pomoc\u00ED Descartesovy v\u011Bty odhadne po\u010Det kladn\u00FDch a z\u00E1porn\u00FDch ko\u0159en\u016F. N\u00E1sledn\u011B je pomoc\u00ED Sturmovy posloupnosti odhadnut po\u010Det re\u00E1ln\u00FDch ko\u0159en\u016F na p\u0159edem vypo\u010Dten\u00E9m intervalu. Pomoc\u00ED Graeff-Loba\u010Devsk\u00E9ho metody jsou ur\u010Deny polohy ko\u0159en\u016F zadan\u00E9ho polynomu. Tato metoda dok\u00E1\u017Ee spolehliv\u011B odhadnout ko\u0159eny, pouze pokud polynom m\u00E1 nejv\u00FD\u0161e jeden komplexn\u00ED ko\u0159en. Poloha ko\u0159en\u016F je ur\u010Dena tak\u00E9 pomoc\u00ED Schurovy metody. Tato metoda dok\u00E1\u017Ee ur\u010Dit jak\u00FDkoliv po\u010Det imagin\u00E1rn\u00EDch ko\u0159en\u016F a dok\u00E1\u017Ee vyhled\u00E1vat i ko\u0159eny komplexn\u00EDch polynom\u016F." . "Program je vytvo\u0159en v programovac\u00EDm jazyku MATLAB. Spu\u0161t\u011Bn\u00ED programu se doporu\u010Duje v MATLABu verze 7.9.0 (R2009b). Minim\u00E1ln\u00ED konfigurace PC: Procesor 2GHz, opera\u010Dn\u00ED pam\u011B\u0165 1GB." .