Matrix Pade-type approximant and directional matrix Pade approximant in the inner product space

Chuanqing Gu

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Matrix Pade-type approximant and directional matrix Pade approximant in the inner product space

机译：内积空间中的矩阵Pade型近似和方向矩阵Pade近似

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摘要

A new matrix Padé-type approximant (MPTA) is defined in the paper by introducing a generalized linear functional in the inner product space. The expressions of MPTA are provided with the generating function form and the determinant form. Moreover, a directional matrix Padé approximant is also established by giving a set of linearly independent matrices. In the end, it is shown that the method of MPTA can be applied to the reduction problems of the high degree multivariable linear system.

机译：通过在内部乘积空间中引入广义线性泛函，在本文中定义了一种新的矩阵Padé型近似值（MPTA）。 MPTA的表达式提供有生成函数形式和行列式形式。此外，还通过给出一组线性独立的矩阵来建立方向矩阵Padé近似值。最后表明，MPTA方法可以应用于高阶多元线性系统的约简问题。

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来源
《Journal of Computational and Applied Mathematics》 |2004年第0期|共21页
作者
Chuanqing Gu;
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正文语种 eng
中图分类应用数学;
关键词
scalar product of matrices; MPTA; algebraic properties; drthogonal polynomial; determinant; directional matrix Pade approximant; multivariable system reduction;

机译：矩阵的标量;MPTA;代数性质;正交多项式;行列式;方向矩阵Pade近似;多变量系统约简;

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1. Matrix Pade-type approximant and directional matrix Pade approximant in the inner product space [J] . Chuanqing Gu Journal of Computational and Applied Mathematics . 2004,第0期

机译：内积空间中的矩阵Pade型近似和方向矩阵Pade近似
2. New representations of Pade, Pade-type, and partial Pade approximants [J] . Brezinski Claude, Redivo-Zaglia Michela Journal of Computational and Applied Mathematics . 2015,第Null期

机译：Pade，Pade类型和部分Pade近似值的新表示形式
3. New representations of Pade, Pade-type, and partial Pade approximants [J] . Brezinski Claude, Redivo-Zaglia Michela Journal of Computational and Applied Mathematics . 2015,第Null期

机译：Pade，Pade类型和部分Pade近似值的新表示形式
4. Generalized multivariate rectangular matrix Pade-type approximants and Pade approximants [C] . Chengde Zheng, Zhibin Li International Symposium on Distributed Computing and Applications to Business, Engineering and Science . 2006

机译：广义多变量矩形矩阵梯型近似剂和梯度近似剂
5. Pade approximants technique for the analysis of waveguide junctions and beam splitters. [D] . Ameeruddin, Mohammed. 2004

机译：Pade近似技术用于分析波导结和分束器。
6. Previously unknown quasicrystal periodic approximant found in space [O] . Luca Bindi, Joyce Pham, Paul J. Steinhardt -1

机译：在空间中发现以前未知的准晶体周期近似
7. Matrix Padé-type approximant and directional matrix Padé approximant in the inner product space [O] . Gu Chuanqing 2004

机译：内部乘积空间中的矩阵Padé型近似和方向矩阵Padé近似

Matrix Pade-type approximant and directional matrix Pade approximant in the inner product space

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