V-antena and Tanimoto's page

谷本の備忘録・雑記帳・work

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月: 2018年6月

MONTHLY ARCHIVE

BLACK SCREEN WHEN LOGIN AFTER UBUNTU UPGRADE FROM 17.10 TO 18.04

I encountered black screen when login after ubuntu upgrade from 17.10 to 18.04

My tentative solution has been the following.

sudo apt install nvidia-cuda-toolkit
sudo apt install clinfo
sudo apt-add-repository ppa:graphics-drivers/ppa
sudo apt update
sudo apt upgrade
sudo reboot
nvidia-smi
clinfo

sudo apt install lightdm
(choose lightdm)
; countermeasurea black screen
sudo reboot

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.

V-antena and Tanimoto's page