An alternative proof for the recursive formulae for computing the Moore-Penrose M-inverse of a matrix

Phohomsiri P; Han B

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An alternative proof for the recursive formulae for computing the Moore-Penrose M-inverse of a matrix

机译：用于计算矩阵的Moore-Penrose M逆的递归公式的另一种证明

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In this paper we provide an alternative proof for the recursive formulae for the determination of the generalized Moore-Penrose M-inverse of a matrix through the direct verification of the four properties of Moore-Penrose M-inverse. (c) 2005 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2006年第1期|共17页
作者
Phohomsiri P; Han B;
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正文语种 eng
中图分类应用数学;
关键词
generalized inverse; Moore-Penrose M-inverse; recursive formulae; least squares problem; GENERALIZED INVERSE; MECHANICAL SYSTEMS; EXPLICIT EQUATIONS; GREVILLE FORMULA; UNIFIED APPROACH; LEAST-SQUARES; MOTION; IDENTIFICATION; PSEUDOINVERSE; COMPUTATION;

机译：广义逆;Moore-Penrose M逆;递推公式;最小二乘问题;广义逆;机械系统;显式;GREVILLE公式;统一方法;最小二乘法;运动;识别;拟逆;计算;

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1. An alternative proof for the recursive formulae for computing the Moore-Penrose M-inverse of a matrix [J] . Phohomsiri P, Han B Applied mathematics and computation . 2006,第1期

机译：用于计算矩阵的Moore-Penrose M逆的递归公式的另一种证明
2. Recursive Determination of the Generalized Moore–Penrose M-Inverse of a Matrix [J] . F. E. Udwadia, P. Phohomsiri Journal of Optimization Theory and Applications . 2005,第3期

机译：矩阵的广义摩尔-彭罗斯M逆的递归确定
3. Particular formulae for the Moore-Penrose inverse of a columnwise partitioned matrix [J] . Baksalary JK, Baksalary OM Linear Algebra and its Applications . 2007,第1期

机译：列分配矩阵的Moore-Penrose逆的特殊公式
4. Image Restoration Via Fast Computing of the Moore-Penrose Inverse Matrix [C] . Chountasis Spiros, Pappas Dimitrios, Katsikis Vasilios N. Systems, Signals and Image Processing, 2009. IWSSIP 2009 . 2009

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5. Matrix factorization using a block-recursive structure and block-recursive algorithms. [D] . Frens, Jeremy David. 2002

机译：使用块递归结构和块递归算法进行矩阵分解。
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7. Recursive Determination of the Generalized Moore–Penrose M-Inverse of a Matrix [O] . F. E. Udwadia, P. Phohomsiri 2010

机译：矩阵的广义摩尔-彭罗斯M逆的递归确定

An alternative proof for the recursive formulae for computing the Moore-Penrose M-inverse of a matrix

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