Representation of Real Normal (T + H) Matrices in the Case where the Skew-Symmetric Parts of Both Summands are Circulant Matrices

V. N. Chugunov

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Representation of Real Normal (T + H) Matrices in the Case where the Skew-Symmetric Parts of Both Summands are Circulant Matrices

机译：两个求和的偏斜对称部分都是循环矩阵的情况下，实正规（T + H）矩阵的表示

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摘要

We give a description of a particular case of normal matrices expressible as the sum of real Toeplitz and Hankel matrices.

机译：我们将描述一个特殊情况的普通矩阵，可以表示为实Toeplitz和Hankel矩阵之和。

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来源
《Mathematical notes》 |2014年第2期|275-285|共11页
作者
V. N. Chugunov;
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作者单位

Institute of Computational Mathematics Russian Academy of Sciences, Moscow, Russia;

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正文语种 eng
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关键词
normal (T + H) matrix; Toeplitz matrix; Hankel matrix; circulant matrix; lower-triangular matrix;

机译：普通（T + H）矩阵;托普利茨矩阵汉克矩阵循环矩阵下三角矩阵;

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专利

1. Representation of Real Normal (T + H) Matrices in the Case where the Skew-Symmetric Parts of both Summands are Skew-Circulant Matrices [J] . V. N. Chugunov Mathematical notes . 2015,第1a2期

机译：两个求和项的偏斜对称部分都是偏斜循环矩阵的情况下的实数正常（T + H）矩阵表示
2. Circulant and skew-circulant matrices as new normal-form realization of IIR digital filters [J] . Liu V.C., Vaidyanathan P.P. IEEE Transactions on Circuits and Systems . 1988,第6期

机译：循环和斜循环矩阵作为IIR数字滤波器的新规范形式实现
3. Positive integer powers of complex skew-symmetric circulant matrices [J] . Gutierrez-Gutierrez J Applied mathematics and computation . 2008,第2期

机译：复偏斜对称循环矩阵的正整数幂
4. Normal rational matrices and the problem of constructing minimal realisations [C] . Bernhard P. Lampe, Efim N. Rosenwasser IEEE International Conference on Control and Automation . 2016

机译：正常的理性矩阵与构建最小实现的问题
5. A decomposition algorithm of skew-symmetric and skew-symmetrizable exchange matrices. [D] . Gu, Weiwen. 2012

机译：斜对称和不可对称交换矩阵的分解算法。
6. Correction to: On the spectral norms of r-circulant matrices with the bi-periodic Fibonacci and Lucas numbers [O] . Cahit Köme, Yasin Yazlik -1

机译：校正至：具有二周期斐波那契数和卢卡斯数的r循环矩阵的谱范数
7. Circulant and skew-circulant matrices as new normal-form realization of IIR digital filters [O] . Liu Vincent C., Vaidyanathan P. P. 1988

机译：循环和斜循环矩阵作为IIR数字滤波器的新规范形式实现
8. Approximations to the Distributions of the Likelihood Ratio Statistics for Testing Certain Structures on the Covariance Matrices of Real Multivariate Normal Populations. [R] . Lee, J. C., Chang, T. C., Krishnaiah, P. R. 1975

机译：实数多元正规总体协方差矩阵上某些结构的似然比统计量分布的近似。

Representation of Real Normal (T + H) Matrices in the Case where the Skew-Symmetric Parts of Both Summands are Circulant Matrices

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