# Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation

Aplikace matematiky (1986)

- Volume: 31, Issue: 5, page 379-395
- ISSN: 0862-7940

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topLukšan, Ladislav. "Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation." Aplikace matematiky 31.5 (1986): 379-395. <http://eudml.org/doc/15462>.

@article{Lukšan1986,

abstract = {The paper describes the dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation. Two cases are analyzed in detail, differring in linear dependence of gradients of the active functions. The complete algorithm of the dual method is presented and its finite step convergence is proved.},

author = {Lukšan, Ladislav},

journal = {Aplikace matematiky},

keywords = {nonlinear minimax approximation; method of recursive quadratic programming; dual method; convergence; algorithm; nonlinear minimax approximation; method of recursive quadratic programming; dual method; convergence},

language = {eng},

number = {5},

pages = {379-395},

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

title = {Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation},

url = {http://eudml.org/doc/15462},

volume = {31},

year = {1986},

}

TY - JOUR

AU - Lukšan, Ladislav

TI - Dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation

JO - Aplikace matematiky

PY - 1986

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

VL - 31

IS - 5

SP - 379

EP - 395

AB - The paper describes the dual method for solving a special problem of quadratic programming as a subproblem at nonlinear minimax approximation. Two cases are analyzed in detail, differring in linear dependence of gradients of the active functions. The complete algorithm of the dual method is presented and its finite step convergence is proved.

LA - eng

KW - nonlinear minimax approximation; method of recursive quadratic programming; dual method; convergence; algorithm; nonlinear minimax approximation; method of recursive quadratic programming; dual method; convergence

UR - http://eudml.org/doc/15462

ER -

## References

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- M. J. D. Powell, A fast algorithm for nonlinearly constrained optimization calculations, In "Numerical analysis, Dundes 1977", (G. A. Watson, ed.), Lecture Notes in Mathematics 630, Berlin: Springer-Verlag 1978. (1977) Zbl0374.65032MR0483447

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