Meromorphic regularization of incorrect problems
M. S. Syavavko, O. B. Herasymchuk · Matematychni Studii · 2007
Meromorphic regularization of incorrect problems, Matematychni Studii, 27 (2007) 174188.A new algorithm of regularization of incorrect problems, a continuum analogue of Kelly-Hamilton's method, is proposed.It is constructed with the aid of a generalization of numerical method of the Pade approximation.We also give a short survey of different approaches for solving of incorrect problems.Ì. Ñ. Ñÿâàâêî, Î. Á. Ãåðàñèì÷óê.Ìåðîìîðôíàÿ ðåãóëÿðèçàöèÿ íåêîððåêíûõ çàäà÷.// Ìàòåìàòè÷íi Ñòóäi¨.2007.Ò.27, 2. C.174188.Èçëîæåí íîâûé àëãîðèòì ðåãóëÿðèçàöèè íåêîððåêòíûõ çàäà÷ ê îíòèíóàëüíûé àíàëîã ìåòîäà Êýëè-Ãàìèëüòîíà.Îí ïîñòðîåí íà îñíîâå îáîáùåíèÿ ÷èñëåííîãî ìåòîäà àïïðîêñèìàöèè Ïàäå.Äàåòñÿ ò àêæå êðàòêèé îáçîð ðàçëè÷íûõ ïîäõîäîâ ê ðåøåíèþ íåêîððåêòíûõ çàäà÷.