# Rescaled multilevel least-change almost secant methods

Mathematica Applicanda (1991)

- Volume: 19, Issue: 33
- ISSN: 1730-2668

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topS. M. Grzegorski. "Rescaled multilevel least-change almost secant methods." Mathematica Applicanda 19.33 (1991): null. <http://eudml.org/doc/292835>.

@article{S1991,

abstract = {In this article the theory of local convergence is developed. One of the extensions consists in that the approximations to the Jacobian matrix have the same properties as the same matrix has in the solution. The example shows that this assumption may lead to simpler algorithms. The paper discusses several rescaled multilevel least-change updates for which local g-superlinear convergence is proved. The theory may be applied to a wider class of methods because every secant algorithm may be treated as a rescaled least-change method.},

author = {S. M. Grzegorski},

journal = {Mathematica Applicanda},

keywords = {Systems of equations; Nonlinear programming},

language = {eng},

number = {33},

pages = {null},

title = {Rescaled multilevel least-change almost secant methods},

url = {http://eudml.org/doc/292835},

volume = {19},

year = {1991},

}

TY - JOUR

AU - S. M. Grzegorski

TI - Rescaled multilevel least-change almost secant methods

JO - Mathematica Applicanda

PY - 1991

VL - 19

IS - 33

SP - null

AB - In this article the theory of local convergence is developed. One of the extensions consists in that the approximations to the Jacobian matrix have the same properties as the same matrix has in the solution. The example shows that this assumption may lead to simpler algorithms. The paper discusses several rescaled multilevel least-change updates for which local g-superlinear convergence is proved. The theory may be applied to a wider class of methods because every secant algorithm may be treated as a rescaled least-change method.

LA - eng

KW - Systems of equations; Nonlinear programming

UR - http://eudml.org/doc/292835

ER -

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