A Heterogeneous Parallel Computing Method for Row Update of Sparse Matrix Lu Decomposition

A sparse matrix and parallel computing technology, applied in the field of sparse matrix LU decomposition, can solve problems such as low efficiency and low operating efficiency, and achieve the effect of improving overall efficiency, avoiding conflicts and dependencies, and increasing computational overhead.
CN109145255BActive Publication Date: 2022-03-29SHANDONG COMP SCI CENTNAT SUPERCOMP CENT IN JINAN

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
SHANDONG COMP SCI CENTNAT SUPERCOMP CENT IN JINAN
Publication Date
2022-03-29

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Abstract

The invention relates to a heterogeneous parallel computing method for row update of sparse matrix LU decomposition. Based on the superlu algorithm and combined with the master-slave heterogeneous characteristics of TaihuLight, the present invention enables the superlu solver to transfer large-scale computing tasks to the slave core during the matrix decomposition stage and update the row, and utilize the slave core group Efficient computing and data communication capabilities, improve the computing power of solving ultra-large-scale sparse matrix, and further improve the overall performance of the solution. The present invention carries out the mode of task division according to the data of matrix, divides matrix data block by row, at first opens up a matrix space for each slave core, each slave core is responsible for the solution of several matrix rows, in seeking lower triangular identity matrix In the process of linear equations of this type, each line of data is independent of each other, avoiding conflicts and dependencies in the solution space, and successfully solving the equations.
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Description

technical field

[0001] The invention relates to a heterogeneous parallel computing method for row update of sparse matrix LU decomposition, and belongs to the technical field of sparse matrix LU decomposition. Background technique

[0002] In recent years, my country has made a series of significant progress in fields closely related to electromagnetism. Among them, the numerical calculation of electromagnetic field is playing an increasingly important role because of its significant advantages such as high efficiency, flexibility, and convenience. In the numerical analysis method of electromagnetic field, moment Quantitative method has the characteristics of high theoretical precision. Moment method converts the electromagnetic field operator equation to be solved into a matrix equation. Due to its high theoretical precision, when dealing with electromagnetic problems of complex electric and large systems such as airborne phased array The huge complex number sparse matrix pre...

Claims

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