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1、迭迭代代法法数数值值分分析析待解方程:矩阵10-2-13-210-115-1-2510Jacobik012345x1k00.30000.80000.91800.97160.9894x2k01.50001.76001.92601.97001.9897x3k02.00002.66002.86402.95402.9823Gauss-Scidelk012345x1k00.30000.88040.98430.99780.9997x2k01.56001.94451.99221.99891.9999x3k02.68402.95392.99382.99912.9999SORk012345x1k00.30000
2、.88040.98430.99780.9997x2k01.56001.94451.99221.99891.9999x3k02.68402.95392.99382.99912.9999备注:只有红色区域为可编辑区域,依次为矩阵方程、初始值和松弛因子。说明:通过录入矩阵方程、初始值和松弛因子便可直接输出迭代法(包括:Jacobi迭代法、Gauss-Scidel迭代法、SOR迭代法)的计算结果。初始值:x1=0w=1x2=0 x3=06789100.99620.99860.99950.99980.99991.99611.99861.99951.99981.99992.99382.99772.99922.99972.99996789101.00001.00001.00001.00001.00002.00002.00002.00002.00002.00003.00003.00003.00003.00003.00006789101.00001.00001.00001.00001.00002.00002.00002.00002.00002.00003.00003.00003.00003.00003.0000迭迭代代法法数数值值分分析析说明:通过录入矩阵方程、初始值和松弛因子便可直接输出迭代法(包括:Jacobi迭代法、Gauss-Scidel迭代法、SOR迭代法)的计算结果。