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2 results about "Inverse iteration" patented technology

In numerical analysis, inverse iteration (also known as the inverse power method) is an iterative eigenvalue algorithm. It allows one to find an approximate eigenvector when an approximation to a corresponding eigenvalue is already known. The method is conceptually similar to the power method. It appears to have originally been developed to compute resonance frequencies in the field of structural mechanics.

Spacecraft magnetic torque attitude control method based on inverse-free iterative algorithm

ActiveCN122009527BRiccati equationNumerical stability
The application discloses a spacecraft magnetic moment attitude control method based on a non-inverse iteration algorithm, and the method establishes a linear periodic model for a spacecraft attitude control system which only relies on a magnetic moment; on the basis, according to a linear quadratic optimal control theory, an optimal controller design problem is converted into a solution problem of a discrete periodic Riccati equation associated with the optimal controller design problem; on the basis of a gradient descent principle, an error function is constructed, and a non-inverse iteration algorithm based on the gradient descent principle is proposed to solve the discrete periodic Riccati equation, so that a matrix inversion operation in a traditional solution method is avoided, and the calculation efficiency and the numerical stability are effectively improved; the obtained Riccati equation solution is used to obtain an optimal state feedback control law, so that the spacecraft attitude optimal control only using the magnetic moment is realized, and a new solution scheme is provided for an attitude control problem of a limited actuator in a space task.
Owner:HARBIN INSTITUTE OF TECHNOLOGY (SHENZHEN) (INSTITUTE OF SCIENCE AND TECHNOLOGY INNOVATION HARBIN INSTITUTE OF TECHNOLOGY SHENZHEN)

Three-dimensional coordinate construction method, device and equipment of hand key point, and storage medium

The application relates to the field of hand recognition, in particular to a three-dimensional coordinate construction method and device of hand key points, computer equipment and a storage medium, the method comprising the following steps: acquiring two-dimensional coordinates of hand key points on a two-dimensional image; acquiring an internal parameter matrix and an external parameter matrix of a camera, and calculating a projection matrix according to the internal parameter matrix and the external parameter matrix; the camera is a shooting camera of the two-dimensional image; establishing a projection relationship equation of the two-dimensional coordinates and three-dimensional coordinates of the hand key points according to the projection matrix; eliminating the projection relationship equation to obtain a homogeneous linear equation group of the two-dimensional coordinates and the three-dimensional coordinates; iteratively calculating the homogeneous linear equation group according to a preset inverse iteration algorithm, acquiring an equation solution when an iteration result meets preset requirements, and determining three-dimensional coordinates of the hand key points according to the equation solution. The application can improve the accuracy of conversion of two-dimensional coordinates of hand key points into three-dimensional coordinates.
Owner:GUANGZHOU SHIYUAN ELECTRONICS CO LTD +1