6 results about "Linear algebra" patented technology

The application discloses a polar coordinate decoupling-based image mirroring and rotating unified transformation method, which comprises the following steps: S10, inputting parameters: an original image, a transformation center point coordinate, a mirroring direction parameter and a rotating angle; S20, traversing each pixel position of an output image; S30, unified mirroring and rotating transformation mapping; S40, interpolation sampling; S50, assigning to the output image; S60, traversing all pixels until completion; and S70, outputting the image. The application abandons the traditional linear algebra idea of firstly constructing a mirroring matrix and then multiplying the mirroring matrix with a rotating matrix, and instead reconsiders the combined operation of mirroring and rotating from the perspective of polar coordinate transformation. In a local polar coordinate system around an arbitrary specified center point, the mirroring operation can be regarded as a sign operation or a shift operation on a polar angle, and the rotating is an addition operation on the polar angle. The two can be combined into a simple expression in the polar angle domain.

The application discloses a kind of inland lake ecological water supplement amount prediction analysis method, comprising: obtaining the underwater topographic map of target lake, constructs the plane two-dimensional water flow movement basic equation of lake wind lake current and the plane two-dimensional water quality equation describing salt transport in lake conversion;Obtain the ecological water supplement flow and salt concentration of target lake, fit the plane two-dimensional water quality equation;To the finite difference discrete of continuity equation, momentum equation, the plane two-dimensional water flow movement basic equation is converted into linear algebra equation group;Linear algebra equation group is solved by ADI row-by-row method in time period, direction, and the water level, water depth and salt concentration of output prediction are exported;The water depth of each grid ecological water supplement is calculated, and then the comprehensive water depth of target lake ecological water supplement in future time is calculated, and the ecological water supplement amount of target lake prediction is obtained.

This invention relates to the field of capacitance calculation technology and discloses a fast algorithm for extracting parasitic capacitance in large-scale integrated circuits. This method combines the method of moments (MoM), a fast multipole algorithm for layered dielectrics, and overlapping region decomposition preprocessing techniques to construct a complete parasitic capacitance extraction solution. By directly introducing the Green's function for the layered dielectric, the numerical solution strictly satisfies the electric field transport conditions at the dielectric interface, and the electrostatic problem in the layered dielectric is transformed into boundary integral equations defined on the interconnect surface. Subsequently, the MoM is used to discretize these boundary integral equations, resulting in a large-scale dense system of linear algebraic equations. To improve solution efficiency, an efficient preprocessing strategy based on overlapping region decomposition is further designed, and combined with the matrix-free minimum residual iteration method and the layered fast multipole algorithm, achieving efficient solution with low computational and storage overhead.

The application discloses a special section stiffness accurate calculation method based on feature adaptive sampling and a general analytic operator, and comprises the following steps: feature adaptive sampling and data semanticization; solving of an explicit spline equation based on topological decoupling; normalized parameter mapping and coefficient vector construction; general analytic calculation based on polynomial algebra; global assembly and stiffness matrix generation; the method retains topological sharp points through feature semantic sampling, unifies an integral domain through a normalized parameter equation, and converts a calculus problem into a linear algebra problem through polynomial algebra operation, so that fast and accurate solving of special section stiffness characteristics is realized.

The invention provides a velocity body conversion method and device based on matrix calculation, a medium and equipment, and belongs to the field of seismic exploration. The method comprises the following steps: step 1, acquiring original velocity volume data; 2, generating an initial velocity model corresponding to the three-dimensional grid of the work area according to the original velocity volume data; 3, constructing a thinning matrix or an encryption matrix according to seismic data processing requirements; and 4, performing matrix calculation to obtain a converted velocity body. According to the method, aiming at the conversion problem of the geophysical velocity body, the velocity body data is effectively processed by constructing a specific thinning matrix and an encryption matrix by utilizing a linear algebraic principle so as to adapt to different resolution ratios and data processing requirements, the flexibility and efficiency of geophysical data processing are improved, and the speed body data processing efficiency is improved. The method is of great significance in improving the overall efficiency of seismic exploration.

This invention discloses a method and system for monitoring the performance of nuclear power heat exchangers based on manifold learning. The method includes: calculating an isotropic adjacent data subset of high-dimensional process measurement data of the nuclear power heat exchanger based on the finite-time nearest neighbor algorithm; eliminating the isotropic global structure shared by multiple submanifolds in the adjacent data subset using the PCA algorithm to obtain the local coordinates of the adjacent data subset; transforming the local coordinates into normal vector space coordinates using discrete differential geometry theory; based on the normal vector space coordinates, performing discriminative optimization on the features using the LDA method to obtain the optimal projection matrix; and obtaining the dimensionality-reduced data according to the projection theory of linear algebra; inputting the dimensionality-reduced data into an SVM model to achieve fault classification and performance monitoring of the nuclear power heat exchanger's operating status. This invention can effectively discriminate and monitor the performance of nuclear power heat exchangers under multiple operating conditions, and has been verified using a condenser as an example.