Geodesic
Computation of the iterated Aluthge, Duggal, and mean transforms
Filomat, Tome 37 (2023) no. 15, p. 4843

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we consider the computation of the Aluthge, Duggal, and Mean transforms of n × n matrices using the singular valued decomposition. We provide examples to illustrate the superiority of our technique in finding iterated Aluthge transform of a matrix over the more traditional methods. From the observations using Python, we know that the iterated Aluthge and Mean transforms of the matrices become normal. However, the iterated Duggal transform of the matrices may not be normal.
DOI : 10.2298/FIL2315843P
Classification : 15A60, 15A23, 15A99
Keywords: Aluthge transform, Singular valued decomposition, Computation, Duggal transform, Mean transform, Python, iterated transform 
Min Woo Park; Ji Eun Lee. Computation of the iterated Aluthge, Duggal, and mean transforms. Filomat, Tome 37 (2023) no. 15, p. 4843 . doi: 10.2298/FIL2315843P
@article{10_2298_FIL2315843P,
     author = {Min Woo Park and Ji Eun Lee},
     title = {Computation of the iterated {Aluthge,} {Duggal,} and mean transforms},
     journal = {Filomat},
     pages = {4843 },
     year = {2023},
     volume = {37},
     number = {15},
     doi = {10.2298/FIL2315843P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315843P/}
}
TY  - JOUR
AU  - Min Woo Park
AU  - Ji Eun Lee
TI  - Computation of the iterated Aluthge, Duggal, and mean transforms
JO  - Filomat
PY  - 2023
SP  - 4843 
VL  - 37
IS  - 15
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2315843P/
DO  - 10.2298/FIL2315843P
LA  - en
ID  - 10_2298_FIL2315843P
ER  - 
%0 Journal Article
%A Min Woo Park
%A Ji Eun Lee
%T Computation of the iterated Aluthge, Duggal, and mean transforms
%J Filomat
%D 2023
%P 4843 
%V 37
%N 15
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2315843P/
%R 10.2298/FIL2315843P
%G en
%F 10_2298_FIL2315843P

Cité par Sources :