REPRESENTING WEIGHTED PSEUDOINVERSE MATRICES WITH MIXED WEIGHTS IN TERMS OF OTHER PSEUDOINVERSES

E. F. Galba; N. A. Vareniuk

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REPRESENTING WEIGHTED PSEUDOINVERSE MATRICES WITH MIXED WEIGHTS IN TERMS OF OTHER PSEUDOINVERSES

机译：表示权重的伪拟逆矩阵和其他伪拟约的术语混合在一起

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摘要

The paper considers weighted pseudoinverse where both weighted matrices are symmetric and one of them is positive definite matrix and the other is nonsingular and indefinite. Formulas are obtained to represent these matrices in terms of the Moore–Penrose pseudoinverse matrix and other weighted pseudoinverses.

机译：本文考虑了加权伪逆，其中两个加权矩阵都是对称的，其中一个是正定矩阵，另一个是非奇异和不确定的。获得了用摩尔-彭罗斯伪逆矩阵和其他加权伪逆表示这些矩阵的公式。

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来源
《Cybernetics and Systems Analysis》 |2018年第2期|185-192|共8页
作者
E. F. Galba; N. A. Vareniuk;
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作者单位

V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine;

V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
weighted pseudoinverses with sign-indefinite weights; Moore–Penrose pseudoinverses; weighted pseudoinverses with mixed weights;

机译：带符号不确定权重的加权伪逆;Moore-Penrose伪逆;具有混合权重的加权伪逆;

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1. SERIES EXPANSION OF WEIGHTED PSEUDOINVERSE MATRICES AND ITERATIVE METHODS FOR CALCULATING WEIGHTED PSEUDOINVERSE MATRICES AND WEIGHTED NORMAL PSEUDOSOLUTIONS [J] . I. V. Sergienko, E. F. Galba, V. S. Deineka Cybernetics and Systems Analysis . 2006,第1期

机译：加权拟逆矩阵与加权拟伪方程的级数展开及迭代方法。
2. EXISTENCE AND UNIQUENESS OF WEIGHTED PSEUDOINVERSE MATRICES AND WEIGHTED NORMAL PSEUDOSOLUTIONS WITH SINGULAR WEIGHTS [J] . Sergienko IV, Galba EF, Deineka VS Ukrainian mathematical journal . 2011,第1期

机译：奇异权重的拟伪逆矩阵和拟正伪解的存在和唯一性
3. ITERATIVE METHODS WITH DIFFERENT RATES OF CONVERGENCE FOR CALCULATING WEIGHTED PSEUDOINVERSE MATRICES AND WEIGHTED NORMAL PSEUDOSOLUTIONS WITH POSITIVE DEFINITE WEIGHTS [J] . I. V. Sergienko, E. F. Galba, V. S. Deineka Cybernetics and Systems Analysis . 2004,第5期

机译：具有不同收敛速度的迭代方法，用于计算加权正伪加权矩阵和加权正伪加权加权正伪解
4. ANALYSIS OF THE WEIGHTING MATRIX FOR LOAD DISTRIBUTION USING WEIGHTED PSEUDOINVERSE IN A REDUNDANTLY ACTUATED SYSTEM [C] . DONG IL PARK, SOO HYUN KIM, YOON KEUN KWAK Biennial Conference on Engineering Systems Design and Analysis 2004(ESDA 2004) vol.2; 20040719-22; Manchester(GB) . 2004

机译：冗余激励系统中加权拟逆的负荷分配加权矩阵分析。
5. Representing protein native states using weighted conformation ensembles [D] . Vammi, Vijay 2015

机译：使用加权构象集合表示蛋白质天然状态
6. Two step imaging reconstruction using truncated pseudoinverse as a preliminary estimate in ultrasound guided diffuse optical tomography [O] . K. M. Shihab Uddin, Atahar Mostafa, Mark Anastasio, 2017

机译：在超声引导的漫射光学层析成像中使用截断的伪逆作为初步估计的两步成像重建
7. Series expansion of weighted pseudoinverse matrices and iterative methods for calculating weighted pseudoinverse matrices and weighted normal pseudosolutions [O] . 2006

机译：加权伪逆矩阵的级数展开和计算加权伪逆矩阵和加权正伪解的迭代方法
8. Pairwise-Comparison Using the Logarithmic Least Squares Method and theGeneralized Pseudoinverse [R] . Kwiesielewicz, M. 1993

机译：使用对数最小二乘法和广义伪逆的成对比较

REPRESENTING WEIGHTED PSEUDOINVERSE MATRICES WITH MIXED WEIGHTS IN TERMS OF OTHER PSEUDOINVERSES

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