发明名称 |
HIGH-SPEED HIGH-ACCURACY MATRIX SINGULAR VALUE DECOMPOSITION METHOD, PROGRAM, AND DEVICE. |
摘要 |
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 à of the matrix B as singular values of the matrix A; and obtaining a singular vector of the matrix A for the Ã. The step of obtaining a singular vector of the matrix A includes a step of performing a Twisted decomposition on a matrix B T B-à 2 I (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 B T B. |
申请公布号 |
EP1752884(A1) |
申请公布日期 |
2007.02.14 |
申请号 |
EP20050746027 |
申请日期 |
2005.06.01 |
申请人 |
JAPAN SCIENCE AND TECHNOLOGY AGENCY |
发明人 |
NAKAMURA, YOSHIMASA;IWASAKI, MASASHI;SAKANO, SHINYA |
分类号 |
G06F17/16;G06F17/30;G06T1/00;G06T7/00 |
主分类号 |
G06F17/16 |
代理机构 |
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