Methods of computing weighted pseudoinverse matrices with singlar weights

E.F.Galba; I.N.Molchanov; V.V.Skopetskii

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Methods of computing weighted pseudoinverse matrices with singlar weights

机译：具有奇异权重的加权伪逆矩阵的计算方法

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摘要

Three iterative processes are constructed and investigated for computing weighted pseudoinverse matrices with singular weights and ML-weighted pseudoinverse matrices. Two of them are based on the decompositions of the weighted psedoinverse matrix with singular weights into matrix power series, and the third is a generalization of the Schulz method to nonsingular square matrices.

机译：构造和研究了三个迭代过程来计算具有奇异权重和ML加权伪逆矩阵的加权伪逆矩阵。其中两个基于具有奇异权重的加权伪逆矩阵分解为矩阵幂级数，第三个是将Schulz方法推广到非奇异方阵。

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来源
《Cybernetics and Systems Analysis》 |1999年第5期|p.814-831|共18页
作者
E.F.Galba; I.N.Molchanov; V.V.Skopetskii;
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作者单位

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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
中图分类自动化技术、计算机技术;
关键词
Moore-Penrose pseudoinverse matrices; weighted pseudoinverse matrices with singular weights; symmetrizable matrices;

机译：Moore-Penrose伪逆矩阵;具有奇异权重的加权伪逆矩阵;可对称矩阵;

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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. 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
3. Representations And Expansionsof Weighted Pseudoinverse Matrices, iterative Methods, And Problem regularization. i. Positive Definite Weights [J] . I. V. Sergienko, E. F. Galba, V. S. Deineka Cybernetics and Systems Analysis . 2008,第1期

机译：加权伪逆矩阵的表示和展开，迭代方法和问题正则化。一世。正定权
4. A Computing Efficient PET Time Calibration Method Based on Pseudoinverse Matrices [C] . Alexander B. Mann, Stephan Paul, Arne Tapfer, IEEE Nuclear Science Symposium Conference . 2009

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5. Convergence to steady-state of weighted ENO schemes, norm preserving Runge-Kutta methods and a modified conjugate gradient method. [D] . Gottlieb, Sigal. 1998

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6. Computed diffusion weighted imaging (cDWI) and voxelwise-computed diffusion weighted imaging (vcDWI) for oncologic liver imaging: A pilot study [O] . Ferdinand Seith, Petros Martirosian, Konstantin Nikolaou, 2018

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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

Methods of computing weighted pseudoinverse matrices with singlar weights

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