Circulant Solutions of the Matrix Equations AX=C and AXB=C

机译：矩阵方程的循环解决方案AX = C和AXB = C.

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摘要

In this paper, we present the sufficient and necessary conditions for the matrix equations AX=C and AXB=C to have circulant solutions. Moreover, we also present a possible extension of this problem.

机译：在本文中，我们为矩阵方程AX = C和AXB = C提供了足够的必要条件，以具有循环解决方案。此外，我们还提出了这个问题的可能延伸。

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《International Conference on Mathematical Sciences》|2014年||共5页
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作者
Aldous Cesar F. Bueno;
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中图分类 O1-532;
关键词
matrix equation; circulant matrix; left circulant matrix; right circulant matrix; skew-left circvulant matrix;

机译：矩阵方程;循环矩阵;左循环矩阵;右循环矩阵;偏斜左循环矩阵;

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专利

1. 矩阵方程（AX，XB）=（C，D）和AXB=C的对称正定解 [J] . 戴华南京航空航天大学学报：英文版 . 1996,第002期
2. Least-Squares Solutions of the Matrix Equations AXB + CYD = Hand AXB + CXD = H for Symmetric Arrowhead Matrices and Associated Approximation Problems [J] . Yongxin Yuan Journal of applied mathematics . 2014,第Pta6期

机译：矩阵方程的最小二乘解AXB + CYD =手AXB + CXD = H对于对称箭头矩阵和相关近似问题
3. Least-norm and Extremal Ranks of the Least Square Solution to the Quaternion Matrix Equation AXB = C Subject to Two Equations [J] . Yubao Bao 代数集刊：英文版 . 2014,第003期

机译：四元数矩阵方程AXB = C的最小二乘解的最小范数和极值秩并服从两个方程
4. Numerical Solution of the Matrix Equations AX + X ~TB = C and AX + X*B = C in the Self-Adjoint Case [J] . Yu. O. Vorontsov, Khakim D. Ikramov Computational mathematics and mathematical physics . 2014,第2期

机译：自伴情况下矩阵方程AX + X〜TB = C和AX + X * B = C的数值解
5. Circulant Solutions of the Matrix Equations AX=C and AXB=C [C] . Aldous Cesar F. Bueno International Conference on Mathematical Sciences . 2014

机译：矩阵方程的循环解决方案AX = C和AXB = C.
6. RATIONAL G-CIRCULANTS SATISFYING THE MATRIX-EQUATION A-SQUARE = D X IDENTITY MATRIX + LAMBDA X MATRIX OF 1'S; D AND LAMBDA ARE RATIONAL NUMBERS. [D] . LAM, CLEMENT WING HONG. 1974

机译：满足矩阵方程A平方的有理G循环= D X身份矩阵+ Lambda X 1的矩阵； D和LAMBDA是有理数。
7. An Iterative Algorithm for the Reflexive Solution of the General Coupled Matrix Equations [O] . Zhongli Zhou, Guangxin Huang 2013

机译：一般耦合矩阵方程自反解的迭代算法
8. On solutions of the matrix equations X−AXB=C and X−AXB=C [O] . Jiang Tongsong, Wei Musheng 2003

机译：关于矩阵方程X-AXB = C和X-AXB = C的解

Circulant Solutions of the Matrix Equations AX=C and AXB=C

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