A pseudoinverse is a matrix inverse-like object that may be defined for a complex matrix, even if it is not necessarily square. For any given complex matrix, it is possible to define many possible pseudoinverses. The most commonly encountered pseudoinverse is the Moore-Penrose matrix inverse, which is a special case of a general type of pseudoinverse known as a matrix 1-inverse.
Pseudoinverse
See also
Matrix 1-Inverse, Matrix Inverse, Moore-Penrose Matrix Inverse, Normal Equation, Projection MatrixExplore with Wolfram|Alpha
References
Campbell, S. L. and Meyer, C. D. Jr. Generalized Inverses of Linear Transformations. New York: Dover, 1991.Jodár, L.; Law, A. G.; Rezazadeh, A.; Watson, J. H.; and Wu, G. "Computations for the Moore-Penrose and Other Generalized Inverses." Congress. Numer. 80, 57-64, 1991.Rao, C. R. and Mitra, S. K. Generalized Inverse of Matrices and Its Applications. New York: Wiley, 1971.Referenced on Wolfram|Alpha
PseudoinverseCite this as:
Weisstein, Eric W. "Pseudoinverse." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Pseudoinverse.html