TY  - JOUR
AU  - Galántai, Aurél
TI  - A Stochastic Convergence Result for the Nelder–Mead Simplex Method
JF  - MATHEMATICS
J2  - MATHEMATICS-BASEL
VL  - 11
PY  - 2023
IS  - 9
PG  - 12
SN  - 2227-7390
DO  - 10.3390/math11091998
UR  - https://m2.mtmt.hu/api/publication/33948677
ID  - 33948677
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Galántai, Aurél
TI  - Convergence of the Nelder-Mead method
JF  - NUMERICAL ALGORITHMS
J2  - NUMER ALGORITHMS
VL  - 90
PY  - 2022
SP  - 1043
EP  - 1072
PG  - 30
SN  - 1017-1398
DO  - 10.1007/s11075-021-01221-7
UR  - https://m2.mtmt.hu/api/publication/32515076
ID  - 32515076
N1  - Online megjelenés éve: 2021
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Galántai, Aurél
TI  - A convergence analysis of the Nelder-Mead simplex method
JF  - ACTA POLYTECHNICA HUNGARICA
J2  - ACTA POLYTECH HUNG
VL  - 18
PY  - 2021
IS  - 5
SP  - 93
EP  - 105
PG  - 13
SN  - 1785-8860
DO  - 10.12700/APH.18.5.2021.5.7
UR  - https://m2.mtmt.hu/api/publication/32007371
ID  - 32007371
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Galántai, Aurél
TI  - Convergence theorems for the Nelder-Mead method
JF  - JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS
J2  - J COMPUT APPL MECH
VL  - 15
PY  - 2020
IS  - 2
SP  - 115
EP  - 133
PG  - 19
SN  - 1586-2070
DO  - 10.32973/jcam.2020.008
UR  - https://m2.mtmt.hu/api/publication/32515066
ID  - 32515066
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Galántai, Aurél
TI  - Always convergent methods for nonlinear equations of several variables
JF  - NUMERICAL ALGORITHMS
J2  - NUMER ALGORITHMS
VL  - 78
PY  - 2018
IS  - 2
SP  - 625
EP  - 641
PG  - 17
SN  - 1017-1398
DO  - 10.1007/s11075-017-0392-z
UR  - https://m2.mtmt.hu/api/publication/27574693
ID  - 27574693
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Abaffy, József
AU  - Galántai, Aurél
TI  - An always convergent algorithm for global minimization of multivariable continuous functions
JF  - ACTA POLYTECHNICA HUNGARICA
J2  - ACTA POLYTECH HUNG
VL  - 15
PY  - 2018
IS  - 1
SP  - 177
EP  - 195
PG  - 18
SN  - 1785-8860
UR  - https://m2.mtmt.hu/api/publication/3323999
ID  - 3323999
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Hamza, Khan
AU  - Galántai, Aurél
AU  - Tar, József
ED  - Szakál, Anikó
TI  - Adaptive Solution of the Inverse Kinematic Task by Fixed Point Transformation
T2  - 2017 IEEE 15TH INTERNATIONAL SYMPOSIUM ON APPLIED MACHINE INTELLIGENCE AND INFORMATICS (SAMI)
PB  - IEEE
CY  - Budapest
SN  - 9781509056552
PY  - 2017
SP  - 247
EP  - 252
PG  - 6
DO  - 10.1109/SAMI.2017.7880312
UR  - https://m2.mtmt.hu/api/publication/3296481
ID  - 3296481
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Abaffy, József
AU  - Enmin, Feng
AU  - Galántai, Aurél
TI  - Introduction to ABS methods for equations and optimization. PART I
TS  - PART I
ET  - 0
PB  - GlobeEdit
CY  - Saarbrücken
PY  - 2017
SP  - 131
SN  - 9786202486248
UR  - https://m2.mtmt.hu/api/publication/3263116
ID  - 3263116
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Galántai, Aurél
TI  - Always convergent methods for solving nonlinear equations
JF  - JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS
J2  - J COMPUT APPL MECH
VL  - 10
PY  - 2015
IS  - 2
SP  - 183
EP  - 208
PG  - 26
SN  - 1586-2070
UR  - https://m2.mtmt.hu/api/publication/30605136
ID  - 30605136
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Galántai, Aurél
AU  - Abaffy, József
TI  - Always convergent iteration methods for nonlinear equations of Lipschitz functions
JF  - NUMERICAL ALGORITHMS
J2  - NUMER ALGORITHMS
VL  - 69
PY  - 2015
IS  - 2
SP  - 443
EP  - 453
PG  - 11
SN  - 1017-1398
DO  - 10.1007/s11075-014-9905-1
UR  - https://m2.mtmt.hu/api/publication/2729653
ID  - 2729653
LA  - English
DB  - MTMT
ER  -