@article{MTMT:33948677,
	title = {A Stochastic Convergence Result for the Nelder–Mead Simplex Method},
	url = {https://m2.mtmt.hu/api/publication/33948677},
	author = {Galántai, Aurél},
	doi = {10.3390/math11091998},
	journal-iso = {MATHEMATICS-BASEL},
	journal = {MATHEMATICS},
	volume = {11},
	unique-id = {33948677},
	abstract = {We prove that the Nelder–Mead simplex method converges in the sense that the simplex vertices converge to a common limit point with a probability of one. The result may explain the practical usefulness of the Nelder–Mead method.},
	year = {2023},
	eissn = {2227-7390}
}

@article{MTMT:32515076,
	title = {Convergence of the Nelder-Mead method},
	url = {https://m2.mtmt.hu/api/publication/32515076},
	author = {Galántai, Aurél},
	doi = {10.1007/s11075-021-01221-7},
	journal-iso = {NUMER ALGORITHMS},
	journal = {NUMERICAL ALGORITHMS},
	volume = {90},
	unique-id = {32515076},
	issn = {1017-1398},
	year = {2022},
	eissn = {1572-9265},
	pages = {1043-1072}
}

@article{MTMT:32007371,
	title = {A convergence analysis of the Nelder-Mead simplex method},
	url = {https://m2.mtmt.hu/api/publication/32007371},
	author = {Galántai, Aurél},
	doi = {10.12700/APH.18.5.2021.5.7},
	journal-iso = {ACTA POLYTECH HUNG},
	journal = {ACTA POLYTECHNICA HUNGARICA},
	volume = {18},
	unique-id = {32007371},
	issn = {1785-8860},
	year = {2021},
	eissn = {1785-8860},
	pages = {93-105}
}

@article{MTMT:32515066,
	title = {Convergence theorems for the Nelder-Mead method},
	url = {https://m2.mtmt.hu/api/publication/32515066},
	author = {Galántai, Aurél},
	doi = {10.32973/jcam.2020.008},
	journal-iso = {J COMPUT APPL MECH},
	journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS},
	volume = {15},
	unique-id = {32515066},
	issn = {1586-2070},
	year = {2020},
	pages = {115-133}
}

@article{MTMT:27574693,
	title = {Always convergent methods for nonlinear equations of several variables},
	url = {https://m2.mtmt.hu/api/publication/27574693},
	author = {Galántai, Aurél},
	doi = {10.1007/s11075-017-0392-z},
	journal-iso = {NUMER ALGORITHMS},
	journal = {NUMERICAL ALGORITHMS},
	volume = {78},
	unique-id = {27574693},
	issn = {1017-1398},
	year = {2018},
	eissn = {1572-9265},
	pages = {625-641}
}

@article{MTMT:3323999,
	title = {An always convergent algorithm for global minimization of multivariable continuous functions},
	url = {https://m2.mtmt.hu/api/publication/3323999},
	author = {Abaffy, József and Galántai, Aurél},
	journal-iso = {ACTA POLYTECH HUNG},
	journal = {ACTA POLYTECHNICA HUNGARICA},
	volume = {15},
	unique-id = {3323999},
	issn = {1785-8860},
	year = {2018},
	eissn = {1785-8860},
	pages = {177-195}
}

@inproceedings{MTMT:3296481,
	title = {Adaptive Solution of the Inverse Kinematic Task by Fixed Point Transformation},
	url = {https://m2.mtmt.hu/api/publication/3296481},
	author = {Hamza, Khan and Galántai, Aurél and Tar, József},
	booktitle = {2017 IEEE 15TH INTERNATIONAL SYMPOSIUM ON APPLIED MACHINE INTELLIGENCE AND INFORMATICS (SAMI)},
	doi = {10.1109/SAMI.2017.7880312},
	unique-id = {3296481},
	year = {2017},
	pages = {247-252},
	orcid-numbers = {Tar, József/0000-0002-5476-401X}
}

@book{MTMT:3263116,
	title = {Introduction to ABS methods for equations and optimization. PART I},
	url = {https://m2.mtmt.hu/api/publication/3263116},
	isbn = {9786202486248},
	author = {Abaffy, József and Enmin, Feng and Galántai, Aurél},
	publisher = {GlobeEdit International Book Market Service Ltd.},
	unique-id = {3263116},
	year = {2017}
}

@article{MTMT:30605136,
	title = {Always convergent methods for solving nonlinear equations},
	url = {https://m2.mtmt.hu/api/publication/30605136},
	author = {Galántai, Aurél},
	journal-iso = {J COMPUT APPL MECH},
	journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS},
	volume = {10},
	unique-id = {30605136},
	issn = {1586-2070},
	year = {2015},
	pages = {183-208}
}

@article{MTMT:2729653,
	title = {Always convergent iteration methods for nonlinear equations of Lipschitz functions},
	url = {https://m2.mtmt.hu/api/publication/2729653},
	author = {Galántai, Aurél and Abaffy, József},
	doi = {10.1007/s11075-014-9905-1},
	journal-iso = {NUMER ALGORITHMS},
	journal = {NUMERICAL ALGORITHMS},
	volume = {69},
	unique-id = {2729653},
	issn = {1017-1398},
	year = {2015},
	eissn = {1572-9265},
	pages = {443-453}
}