A PERIODIC JACOBI-PERRON LIKE ALGORITHM BY COEFFICIENT REDUCTION

I developed a multi-dimensional periodical algorithm like the Jacobi-Perron Algorithm(multi-dimensional continued fraction expansion) for any real algebraic number field of degree n (n >= 2).

Attached is the paper of that algorithm.
I don't have channels to post this paper to magazines.
So I put this paper(PDF file) and actual programs (zipped file) to my blog.

1. paper (pdf file)
2. programs(zip file)

Abstract of the paper

Abstract. The author presents a multi-dimensional periodical algorithm like the Jacobi-Perron Algorithm(multi-dimensional continued fraction expansion) for any real algebraic number eld of degree n(n >=2). The author inserts a lattice basis reduction process to that Jacobi-Perron algorithm and succeed to get periodicity.
This paper shows the algorithm and the proof of its periodicity.