Moore-Penrose inverse and applications to linear equations

2021/10/04 by Yousef Estaremi, Estaremi, Yousef, Saeedeh Shamsi +1
Computer Science · Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Numerical methods in inverse problems #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2110.01332

openalex publication_date 2021/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we investigate Moore-Penrose inverse and characteristic matrix of unbounded WCT operators on the Hilbert space L²(μ). Also, we obtain some applications of the Moore-Penrose inverse of unbounded operators on the Hilbert space H to variational regularization problem. Moreover,some examples are provided to illustrate the applications of our results in linear equations and specially Fredholm integral equations.

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