Title:
POLYNOMINAL APPROXIMATION DEVICE AND POLYNOMINAL APPROXIMATION METHOD
Document Type and Number:
WIPO Patent Application WO/2024/079772
Kind Code:
A1
Abstract:
A polynominal approximation device (1) comprising: a product-sum operator (11) that calculates first accumulation value data including accumulation values obtained by adding up the zeroth power to 2k-th power of the x-coordinate values of n-number of point data, and calculates second accumulation value data including accumulation values obtained by calculating, for each of the n-number of point data, products of the y-coordinate value and the zeroth power to k-th power of the corresponding x-coordinate value, and adding up the products; an inverse matrix calculator (12) that receives input of a first matrix having the accumulation values of the first accumulation value data as elements, calculates, in an ascending order for the value, calculation targets including the accumulation values of the first accumulation value data to obtain a determinant and the cofactors of the first matrix, and calculates the inverse matrix of the first matrix using the obtained determinant and cofactors; and a multiplier (13) that calculates the matrix product of the inverse matrix and a second matrix including the accumulation values of the second accumulation value data as elements.
Inventors:
TAKAHASHI KATSUMI (JP)
SAKAMAKI HIROSHI (JP)
SAKAMAKI HIROSHI (JP)
Application Number:
PCT/JP2022/037754
Publication Date:
April 18, 2024
Filing Date:
October 11, 2022
Export Citation:
Assignee:
MITSUBISHI ELECTRIC CORP (JP)
International Classes:
G06F17/17
Foreign References:
| JP2000123001A | 2000-04-28 |
Other References:
ANONYMOUS: "ternal Traveler, [2 Ways] An easy-to-understand explanation of how to solve the least squares method using matrix operations | How to navigate the logistics industry", LOGI GEEK, 31 October 2021 (2021-10-31), XP093159474, Retrieved from the Internet
SHO NAKAJIMA: "How to find an inverse matrix using a cofactor matrix and examples", AVILEN AI TREND, 30 April 2024 (2024-04-30), XP093159475, Retrieved from the Internet
MANTIS: "Replacement: Definition of determinant] Let's find the 4th order square determinant", TAKUN-PHYSICS.NET, 14 April 2021 (2021-04-14), XP093159478, Retrieved from the Internet
SHO NAKAJIMA: "How to find an inverse matrix using a cofactor matrix and examples", AVILEN AI TREND, 30 April 2024 (2024-04-30), XP093159475, Retrieved from the Internet
MANTIS: "Replacement: Definition of determinant] Let's find the 4th order square determinant", TAKUN-PHYSICS.NET, 14 April 2021 (2021-04-14), XP093159478, Retrieved from the Internet
Attorney, Agent or Firm:
SANNO PATENT ATTORNEYS OFFICE (JP)
Download PDF: