[2017年整理]北理工数值分析第一章PPT.ppt

* 3.2 算法的数值稳定性 算法：设计由已知数据计算问题结果的运算顺序 稳定性：在算法的计算过程中，数据误差和舍入误差 在计算过程中不增长，则称算法是数值稳定 的；否则称算法是数值不稳定的. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. * 算法Ⅰ Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. * n 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 (算法Ⅰ) 0000000000-00-08-41Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. * Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. * 算法Ⅱ 由于 取 按公式 计算 例如 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. * n 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 (算法Ⅰ) 0000000000-00-08-41(算法Ⅱ) 000000000000000Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 数值分析 主讲教师: 满红英 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. * 教材 丁丽娟，程杞元， 《数值计算方法》，高等教育出版社 参考书 各工科院校相应教材 清华大学,哈工大,西安交大等 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. * 最后成绩=实验作业成绩(20%)+考试成绩(80%) 实验作业：下列1和2选择一个 1.自选题(结合专业)，作业中包含下列内容 (1)实际问题 (2)数学模型 (例如，解常微分方程组，数据拟合等) (3)计算方法 (4)程序(matlab) (5)计算结果及分析 考试前交 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright