混合矩阵束的正则化算法
Regularizing algorithm for mixed matrix pencils
摘要：
P. Van Dooren（1979）构造了一个计算矩阵束的Kronecker标准形的所有奇异和数的算法。他的算法只使用了酉变换，这提高了它的数值稳定性。我们将Van Dooren的算法推广到复方阵的一致性变换和m × n复矩阵对。
英文摘要：
P. Van Dooren (1979) constructed an algorithm for computing all singular summands of Kronecker's canonical form of a matrix pencil. His algorithm uses only unitary transformations, which improves its numerical stability. We extend Van Dooren's algorithm to square complex matrices with respect to consimilarity transformations and to pairs of m-by-n complex matrices.
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