...singular vectors, norm, augmented matrix, correction equation, (inexact) accelerated Newton, imp[gap=273]关键词。雅可比 - 戴维森,奇异值分解(SVD),奇异值,奇异向量,规范,增广矩阵,修正方程,加速牛顿(不准确),改进的奇异值的AMS主题分类。 65F15(65F35)PII。
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在比较条件非线性最优扰动和线性奇异向量模态的基础上进一步探讨了它们随时间的演变。
On the basis of the comparison of conditional nonlinear optimal perturbation and linear singular vector, the evolutions of them with time are investigated.
本文证明了,当投影空间足够好时,该方法得到的近似奇异值收敛,但近似奇异向量可能收敛很慢甚至不收敛。
It is proved that for sufficiently good subspaces the approximate singular values obtained by the harmonic projection methods converge while the corresponding approximate singular vectors may not.
证明了资料矩阵的总能量可用奇异值的平方和来表达,以及P波到达的径向能量最大值在第一奇异向量方向出现。
Therefore the maximum of the radial energy during the P-wave arrive appears in the direction of the first singular vector.
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