DETERMINANTAL REPRESENTATION OF THE MOORE-PENROSE INVERSE MATRIX OVER THE QUATERNION SKEW FIELD

I.I. Kyrchei

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DETERMINANTAL REPRESENTATION OF THE MOORE-PENROSE INVERSE MATRIX OVER THE QUATERNION SKEW FIELD

机译：四元数偏场上Moore-Penrose逆矩阵的确定性表示。

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摘要

Within the framework of the theory of column and row determinants, we have obtained the determinan-tal representation of the Moore-Penrose inverse matrix over the quaternion skew field.

机译：在行列式行列式理论的框架内，我们获得了四元数偏场上Moore-Penrose逆矩阵的行列式表示。

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《Journal of Mathematical Sciences》 |2012年第1期|p.23-33|共11页
作者
I.I. Kyrchei;
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作者单位

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine;

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专利

1. Determinantal representations of the moore-penrose inverse over the quaternion skew field and corresponding Cramer's rules [J] . Kyrchei I.I. Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems . 2011,第4a6期

机译：四元数偏场上摩尔-彭罗斯逆的行列式表示及相应的克莱默规则
2. Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer's rules [J] . Linear and Multilinear Algebra . 2011,第4期

机译：四元数偏场上的Moore-Penrose逆的行列式表示及相应的Cramer规则
3. Explicit Determinantal Representation Formulas of W-Weighted Drazin Inverse Solutions of Some Matrix Equations over the Quaternion Skew Field [J] . Kyrchei Ivan I. Mathematical Problems in Engineering . 2016,第pta7期

机译：四元数偏字段上某些矩阵方程的W加权Drazin逆解的显式行列式表示
4. Study of diagonalization on skew self-conjugate matrix in quaternion field [C] . Lieya Yan, Ling Xu Second International Conference on Computational Intelligence and Natural Computing . 2010

机译：四元数场中偏自共轭矩阵的对角化研究
5. Quaternion algebras and elliptic curves over function fields of finite characteristic. [D] . Flynn, Ryan T. 2013

机译：具有有限特征的函数域上的四元数代数和椭圆曲线。
6. A Space Efficient Flexible Pivot Selection Approach to Evaluate Determinant and Inverse of a Matrix [O] . Hafsa Athar Jafree, Muhammad Imtiaz, Syed Inayatullah, 2010

机译：一种节省空间的灵活枢轴选择方法，用于评估矩阵的行列式和逆矩阵
7. Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer's rules [O] . Kyrchei, Ivan 2010

机译：moore-penrose逆的确定性表示四元数偏斜场和相应的克莱默规则

DETERMINANTAL REPRESENTATION OF THE MOORE-PENROSE INVERSE MATRIX OVER THE QUATERNION SKEW FIELD

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