插值型求积公式能达到的最高代数精度是( )次。
A: 2n-1
B: 2n
C: 2n+1
D: n-1
A: 2n-1
B: 2n
C: 2n+1
D: n-1
举一反三
- 插值型求积公式[img=432x181]17d602e6574afa5.png[/img]能达到的最高代数精度是( )次。 A: 2n-1 B: 2n C: 2n+1 D: n-1
- 通过点<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/a13927df1bf542dfa036a32b10364f69.png" />的拉格朗日插值基函数<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/65695a42c7a14b649b6aa4fb68f7e499.png" />满足( ) A: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/99af333f3e934ef6a75022ee1e728b53.png" />=1,<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/7769611ac5cd4c93975be7c41a49ae71.png" /> B: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/99af333f3e934ef6a75022ee1e728b53.png" />=1,<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/7769611ac5cd4c93975be7c41a49ae71.png" /> C: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/99af333f3e934ef6a75022ee1e728b53.png" />=0,<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/7769611ac5cd4c93975be7c41a49ae71.png" /> D: <img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/99af333f3e934ef6a75022ee1e728b53.png" />=0,<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202009/f80e8e400f3f4916bcaf6b5fde757f16.png" />
- 若n阶方阵A满足<img src="https://image.zhihuishu.com/zhs/doctrans/docx2html/202105/9dfd13f284c54a8cbe2e864bac2e08f9.png" />,则A的特征值为( ). A: -1 ,-1 ,-2 B: -1 ,-1 ,2 C: 1 ,-1 ,-2 D: 1 ,-1 ,2
- n次插值型求积公式至少具有次代数精度 A: n B: n-1 C: n+1 D: 2n
- n个节点的Gauss型求积公式具有( )次代数精度。 A: n+1 B: 2n C: 2n+1 D: 2n -1