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不完全Cholesky共轭梯度法及其在地电场计算中的应用 被引量:14

Incomplete Cholesky conjugate gradient method and its application in geoelectric field computation
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摘要 本文给出了解大型稀疏线性方程组的不完全Cholesky共轭梯度(ICCG)算法全过程,包括矩阵的高效一维压缩存储、系数矩阵的不完全因子化及最后的共轭梯度求解。该方法收敛快速、稳定,且内存要求相对小得多。通过点源二维地电场的有限差分计算实例,说明了ICCG方法较之直接方法有更大的潜在优势,是地电三维正演的强有力工具。 A new incomplete Cholesky conjugate gradient method for solving large sparselinear equations is put forward, which involves ideal one/dimension compress stor-age of matrices, incomplete factorization of coefficient matrices and conjugate gradi-ent solution. The method results in fast convergence, stability and less internalstorage. The finite difference computati0n of 2-D geoelectric field yielded by pointsource sqys that the method may be a desirable one for 3-D ge0electric field forwardcomputation because it has more potential advantages than other direct methods.
出处 《石油地球物理勘探》 EI CSCD 北大核心 1998年第1期89-94,共6页 Oil Geophysical Prospecting
关键词 地电场 数据处理 共轭梯度法 地震勘探 电法勘探 two dimensions, geoelectric field, data processing, conjugate gradient method, forward
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