TY - CHAP
T1 - Directional halley and quasi-halley methods in N variables
AU - Levin, Yuri
AU - Ben-Israel, Adi
PY - 2001
Y1 - 2001
N2 - A directional Halley method for functions f of n variables is shown to converge, at a cubic rate, to a solution. To avoid the second derivative needed in the Halley method we propose a directional quasi-Halley method, with one more function evaluation per iteration than the directional Newton method, but with convergence rates comparable to the Halley method.
AB - A directional Halley method for functions f of n variables is shown to converge, at a cubic rate, to a solution. To avoid the second derivative needed in the Halley method we propose a directional quasi-Halley method, with one more function evaluation per iteration than the directional Newton method, but with convergence rates comparable to the Halley method.
UR - http://www.scopus.com/inward/record.url?scp=77956674947&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77956674947&partnerID=8YFLogxK
U2 - 10.1016/S1570-579X(01)80021-5
DO - 10.1016/S1570-579X(01)80021-5
M3 - Chapter
AN - SCOPUS:77956674947
T3 - Studies in Computational Mathematics
SP - 345
EP - 367
BT - Studies in Computational Mathematics
PB - Elsevier
ER -