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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Local {Pisot} matricies and mutual approximations of algebraic numbers},
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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/

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