Storage and Solving of Large Sparse Matrix Linear Equations
Chao Liu, Junmin Ye, Yining Ma
Abstract
Chao Liu, Junmin Ye, Yining Ma
Abstract
Solving of large sparse matrix linear equations is always the research focus of scientific and engineering calculation field. With the sparsity and symmetry characteristics of coefficient matrix, Compressed Sparse Row (CSR) is adopted in the storage of large sparse matrix linear equations. Under the condition of CSR, Symmetrica Successive Over Relaxations-Preconditioned Conjugate Gradient method (SSOR-PCG) is employed in the solution of large sparse matrix linear equations.
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Solving of large sparse matrix linear equations is always the research focus of scientific and engineering calculation field. With the sparsity and symmetry characteristics of coefficient matrix, Compressed Sparse Row (CSR) is adopted in the storage of large sparse matrix linear equations. Under the condition of CSR, Symmetrica Successive Over Relaxations-Preconditioned Conjugate Gradient method (SSOR-PCG) is employed in the solution of large sparse matrix linear equations.
Key concepts: Coefficient matrix, Sparse matrix, Conjugate gradient method, Matrix-free methods, Matrix (chemical analysis), Sparse approximation, Linear equation, Linear system