Moore–Penrose Pseudoinverses

Jonathan S. Golan ()
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Jonathan S. Golan: University of Haifa, Dept. of Mathematics

Chapter 19 in The Linear Algebra a Beginning Graduate Student Ought to Know, 2012, pp 441-452 from Springer

Abstract: Abstract Moore–Penrose pseudoinverses of linear transformations between inner product spaces are defined and their existence and uniqueness are established. In particular, the application of pseudoinverses of matrices to finding best approximations of solutions of systems of linear equations is considered and related to the least-squares method.

Keywords: Moore-Penrose Pseudoinverse; Triangulation Grid; Unital Associative Algebra; Singular Value Decomposition Theorem; Robert Adrain (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-007-2636-9_19

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DOI: 10.1007/978-94-007-2636-9_19

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