Solving matrix-vector systems. Direct and iterative solvers for non-singular linear systems of equations; their accuracy, convergence properties, and computational efficiency. Under- and over-determined systems, and nonlinear systems of equations. Eigenvalues, eigenvectors, and singular values; their application to engineering problems. Concepts such as basis, linear independence, column space, null space, rank, norms and condition numbers, projections, and matrix properties.
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Secondly, construct an interval in such a way that all the singular values are contained in each interval, and this interval is a decreasing sequence.
其次用一种新方法建立了一个区间，以至于矩阵的所有奇异值包含在每一个区间内，并且这个区间是一个递减序列。
In the study of time series forecasting in ground states, the method for recognition and processing singular values is proposed, then LS-SVM is applied to forecast.
针对基态趋势客流预测问题，研究了进行奇异值检测处理并运用最小二乘支持向量机进行预测的解决方案。
Necessary and sufficient conditions for the robust stability of feedback systems are derived in terms of the principles of the structured singular values.
利用结构奇异值的概念和方法，给出了闭环系统鲁棒稳定性的充要条件。
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