Advanced Matrix Operations

Kohei Adachi ()
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Kohei Adachi: Osaka University, Graduate School of Human Sciences

Chapter Chapter 17 in Matrix-Based Introduction to Multivariate Data Analysis, 2020, pp 261-277 from Springer

Abstract: Abstract In this chapter we introduce matrix operations that are more advanced than those treated so far. We start by describing systems of linear equations, and then introduce the Moore–Penrose (MP) inverse, considered as one of the most important operations for statistics, as well as singular value decompositionSingular Value Decomposition (SVD) (SVD). The MP inverse is closely related to SVDSingular Value Decomposition (SVD) and more useful than the ordinary inverse matrixInverse matrix, which is regarded as a special case of the MP inverse.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-15-4103-2_17

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DOI: 10.1007/978-981-15-4103-2_17

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