2018
DOI: 10.9734/arjom/2018/38351
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Extension of Moore-Penrose Pseudoinverse to Solve Nonsquare Fuzzy System of Linear Equations

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“…Consider the SVD decomposition of B, i.e., B = U ΣV T . Then, B † can be written as B † = V Σ † U T where Σ † is defined by taking the reciprocals of the non-zero diagonal elements of Σ, leaving the zero elements at place and transposing the resulting matrix [27,Rem. 2.2].…”
Section: Appendix I Proof Of Theoremmentioning
confidence: 99%
“…Consider the SVD decomposition of B, i.e., B = U ΣV T . Then, B † can be written as B † = V Σ † U T where Σ † is defined by taking the reciprocals of the non-zero diagonal elements of Σ, leaving the zero elements at place and transposing the resulting matrix [27,Rem. 2.2].…”
Section: Appendix I Proof Of Theoremmentioning
confidence: 99%