由谱数据数值稳定地构造实对称带状矩阵 |
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引用本文: | 戴华.由谱数据数值稳定地构造实对称带状矩阵[J].计算数学,1990,12(2):157-166. |
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作者姓名: | 戴华 |
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作者单位: | 南京大学 |
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摘 要: | §1.引言 设r,n是正整数并且0r有a_(ij)=0.
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NUMERICALLY STABLE CONSTRUCTION OF REAL SYMMETRIC BAND MATRICES FROM SPECTRAL DATA |
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Institution: | Dai Hua Nanjing University |
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Abstract: | Two stable numerical methods for constructing a real symmetric band matrix with halfbandwidth r+1 from the given eigenvalues of the r+1 greatest leading principal submatrices arepresented. The numerical methods, the Generalized Lanczos Method and the Givens Method aredescribed, and some numerical results are given. |
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