Causality-constrained multiple shift sequential matrix diagonalisation for parahermitian matrices
Causality-constrained multiple shift sequential matrix diagonalisation for parahermitian matrices
复制标题
准厄米矩阵的因果约束多移位顺序矩阵对角化
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
I. Proudler
中科院分区：
文献类型：
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作者：
J. Corr;K. Thompson;Stephan Weiss;J. McWhirter;I. Proudler
本文介绍了一种因果约束顺序矩阵对角化 (SMD) 算法，该算法可生成因果拟酉变换，对拟厄米矩阵进行近似对角化和谱极大化，并可用于确定多项式特征值分解。该算法建立在多重移位技术的基础上，该技术基于特定的搜索空间加速每个迭代步骤的对角化，该搜索空间被限制为允许最大数量的因果时间移位。本文给出的结果显示了与现有算法（特别是我们提出的方法所衍生的无约束多位移 SMD 算法）相比的性能。
This paper introduces a causality constrained sequential matrix diagonalisation (SMD) algorithm, which generates a causal paraunitary transformation that approximately diagonalises and spectrally majorises a parahermitian matrix, and can be used to determine a polynomial eigenvalue decomposition. This algorithm builds on a multiple shift technique which speeds up diagonalisation per iteration step based on a particular search space, which is constrained to permit a maximum number of causal time shifts. The results presented in this paper show the performance in comparison to existing algorithms, in particular an unconstrained multiple shift SMD algorithm, from which our proposed method derives.