Patents by Inventor Shinya Sakano

Shinya Sakano has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Patent number: 8306361
    Abstract: A singular value decomposition method according to the present invention is a method for performing a singular value decomposition on an arbitrary matrix A using a computer, the method including the steps of: performing an upper bidiagonalization on the matrix A so as to obtain an upper bidiagonal matrix B of the matrix A; obtaining at least one singular value ? of the matrix B as singular values of the matrix A; and obtaining a singular vector of the matrix A for the ?. The step of obtaining a singular vector of the matrix A includes a step of performing a Twisted decomposition on a matrix BTB??2I (where I is a unit matrix) by using a Miura inverse transformation, an sdLVvs transformation, an rdLVvs transformation and a Miura transformation so as to diagonalize a matrix BTB.
    Type: Grant
    Filed: June 1, 2005
    Date of Patent: November 6, 2012
    Assignee: Japan Science and Technology Agency
    Inventors: Yoshimasa Nakamura, Masashi Iwasaki, Shinya Sakano
  • Publication number: 20090216821
    Abstract: The present invention provides a singular value decomposition apparatus that can perform processing in parallel at high speed and high accuracy.
    Type: Application
    Filed: September 21, 2006
    Publication date: August 27, 2009
    Applicant: KYOTO UNIVERSITY
    Inventors: Yoshimasa Nakamura, Taro Konda, Masashi Iwasaki, Shinya Sakano, Masami Takata
  • Publication number: 20090028455
    Abstract: A singular value decomposition method according to the present invention is a method for performing a singular value decomposition on an arbitrary matrix A using a computer, the method including the steps of: performing an upper bidiagonalization on the matrix A so as to obtain an upper bidiagonal matrix B of the matrix A; obtaining at least one singular value ? of the matrix B as singular values of the matrix A; and obtaining a singular vector of the matrix A for the ?. The step of obtaining a singular vector of the matrix A includes a step of performing a Twisted decomposition on a matrix BTB??2I (where I is a unit matrix) by using a Miura inverse transformation, an sdLVvs transformation, an rdLVvs transformation and a Miura transformation so as to diagonalize a matrix BTB.
    Type: Application
    Filed: June 1, 2005
    Publication date: January 29, 2009
    Applicant: JAPAN SCIENCE AND TECHNOLOGY AGENCY
    Inventors: Yoshimasa Nakamura, Masashi Iwasaki, Shinya Sakano