On solutions of matrix equation AX AH = B over some special matrices

机译：在一些特殊矩阵上的矩阵方程Ax A ^{H = B的解}

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The solutions and least-squares solutions of matrix equation AX AH = B over skew-Hermitian anti-self orthogonal similar matrices are considered. Necessary and sufficient conditions for the existence of the solutions.

机译：考虑了矩阵方程Ax的溶液和最小二乘溶液A ^{H = B过度偏斜抗自正交相似矩阵。对解决方案存在的必要和充分条件。}

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《International Conference on Machine Learning and Cybernetics》|2009年||共3页
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中图分类 TP181-53;
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Hermitian matrices; least squares approximations; singular value decomposition; SVD; least-squares solution; matrix equation solution; skew-Hermitian antiself orthogonally-similar matrix; matrix equation; skew-Hermitian anti-self orthogonal similar matrix; solvability;

机译：赫米特矩阵;最小二乘近似;奇异值分解;SVD;最小二乘解;矩阵方程式;歪斜的抗野生抗体的正交 - 类似的矩阵;矩阵方程;歪斜的抗自正交相似矩阵;可动性;

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3. Solutions with special structure to the linear matrix equation AX = B [J] . Ying Li, Fengxia Zhang, Wenbin Guo, Computers & mathematics with applications . 2011,第2期

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4. On solutions of matrix equation AX AH = B over some special matrices [C] . YAN-PING SHENG, DONGXIU XIE 2009 International Conference on Machine Learning and Cybernetics（2009机器学习与控制论国际会议）论文集 . 2009

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5. Exponential decay of resolvents of banded matrices and asymptotics of solutions of linear difference equations [D] . Smith, Dale T. 1989

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6. A Special Class of Solutions of the Equations of the Gravitational Field Arising from Certain Gauge-Invariant Action Principles [O] . H. A. Buchdahl 1948

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On solutions of matrix equation AX AH = B over some special matrices

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