id: 00021909
dt: j
an: 00021909
au: Cuyt, Annie
ti: A class of adaptive multivariate nonlinear iterative methods.
so: Rocky Mt. J. Math. 21, No.1, 171-185 (1991).
py: 1991
pu: Rocky Mountain Mathematics Consortium, Arizona State University, Tempe, AZ
la: EN
cc: 
ut: adaptive multivariate nonlinear iterative methods; Padé approximants;
    rational Hermite interpolants; systems of nonlinear equations;
    interpolation
ci: 
li: doi:10.1216/rmjm/1181073002
ab: Multivariate iterative procedures, based on the use of multivariate
    rational Hermite interpolants, are introduced for the solution of
    systems of nonlinear equations. To this end, the most recent iteration
    points are used as interpolation points. Coalescent interpolation
    points are obtained by repeating the same iteration points a number of
    times. This new type of iterative procedure can be completely adapted
    to the cost of evaluating and/or differentiating the nonlinear
    equations in the system. It is useful to deal with singularities.
rv: Deng Naiyang (Beijing)