# On a secant-like method for solving generalized equations

Ioannis K. Argyros; Said Hilout

Mathematica Bohemica (2008)

- Volume: 133, Issue: 3, page 313-320
- ISSN: 0862-7959

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topArgyros, Ioannis K., and Hilout, Said. "On a secant-like method for solving generalized equations." Mathematica Bohemica 133.3 (2008): 313-320. <http://eudml.org/doc/250543>.

@article{Argyros2008,

abstract = {In the paper by Hilout and Piétrus (2006) a semilocal convergence analysis was given for the secant-like method to solve generalized equations using Hölder-type conditions introduced by the first author (for nonlinear equations). Here, we show that this convergence analysis can be refined under weaker hypothesis, and less computational cost. Moreover finer error estimates on the distances involved and a larger radius of convergence are obtained.},

author = {Argyros, Ioannis K., Hilout, Said},

journal = {Mathematica Bohemica},

keywords = {secant-like method; generalized equations; Aubin continuity; radius of convergence; divided difference; secant-like method; generalized equations; Aubin continuity; radius of convergence; divided difference; error estimates},

language = {eng},

number = {3},

pages = {313-320},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On a secant-like method for solving generalized equations},

url = {http://eudml.org/doc/250543},

volume = {133},

year = {2008},

}

TY - JOUR

AU - Argyros, Ioannis K.

AU - Hilout, Said

TI - On a secant-like method for solving generalized equations

JO - Mathematica Bohemica

PY - 2008

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 133

IS - 3

SP - 313

EP - 320

AB - In the paper by Hilout and Piétrus (2006) a semilocal convergence analysis was given for the secant-like method to solve generalized equations using Hölder-type conditions introduced by the first author (for nonlinear equations). Here, we show that this convergence analysis can be refined under weaker hypothesis, and less computational cost. Moreover finer error estimates on the distances involved and a larger radius of convergence are obtained.

LA - eng

KW - secant-like method; generalized equations; Aubin continuity; radius of convergence; divided difference; secant-like method; generalized equations; Aubin continuity; radius of convergence; divided difference; error estimates

UR - http://eudml.org/doc/250543

ER -

## References

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