Geodesic
Local Pisot matricies and mutual approximations of algebraic numbers
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 33, Tome 458 (2017), pp. 104-134

Voir la notice de l'article provenant de la source Math-Net.Ru

A further development of the simplex-modular algorithm for decomposition of algebraic numbers into multidimensional continued fractions is proposed. With this aim we construct localized Pisot matrices . They have moduli of all eigenvalues less than 1 fall into the interval of small length. Such Pisot matrices generate continued fractions with the best approximations. 
@article{ZNSL_2017_458_a6,
     author = {V. G. Zhuravlev},
     title = {Local {Pisot} matricies and mutual approximations of algebraic numbers},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {104--134},
     publisher = {mathdoc},
     volume = {458},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_458_a6/}
}
TY  - JOUR
AU  - V. G. Zhuravlev
TI  - Local Pisot matricies and mutual approximations of algebraic numbers
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2017
SP  - 104
EP  - 134
VL  - 458
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2017_458_a6/
LA  - ru
ID  - ZNSL_2017_458_a6
ER  - 
%0 Journal Article
%A V. G. Zhuravlev
%T Local Pisot matricies and mutual approximations of algebraic numbers
%J Zapiski Nauchnykh Seminarov POMI
%D 2017
%P 104-134
%V 458
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2017_458_a6/
%G ru
%F ZNSL_2017_458_a6
V. G. Zhuravlev. Local Pisot matricies and mutual approximations of algebraic numbers. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 33, Tome 458 (2017), pp. 104-134. http://geodesic.mathdoc.fr/item/ZNSL_2017_458_a6/