Abstract
Basic properties of generalized inverse are proved. A computational procedure is given. It is shown that a generalized inverse is reflexive if and only if it has the same rank as the matrix. Least squares and minimum norm inverses are defined and their characterization in terms of linear equations is provided. Moore–Penrose inverse is introduced and its existence and uniqueness is established.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag London Limited
About this chapter
Cite this chapter
Bapat, R.B. (2012). Generalized Inverses. In: Linear Algebra and Linear Models. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-2739-0_4
Download citation
DOI: https://doi.org/10.1007/978-1-4471-2739-0_4
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2738-3
Online ISBN: 978-1-4471-2739-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)