Generalized inverses of an invertible infinite matrix over a finite field

On an Infinite-dimensional Group over a Finite Field

Recognizing finite matrix groups over infinite fields

Article history: Received 12 January 2012 Accepted 10 April 2012 Available online 15 June 2012

Generalized inverses of a normal matrix

The expressions for generalized inverses of a normal matrix are discussed by its Schur decomposition.

On generalized inverses of singular matrix pencils

Linear time-invariant networks are modelled by linear differential-algebraic equations with constant coefficients. These equations can be represented by a matrix pencil. Many publications on this subject are restricted to regular matrix pencils. In particular, the influence of the Weierstrass structure of a regular pencil on the poles of its inverse is well known. In this paper we investigate s...

On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences

and Applied Analysis 3 and ‖b −Ax‖2 ‖b −Ax‖2, then ‖x‖2 x∗x < ∥ ∥x′ ∥ ∥2 2. 1.8 Thus, x A b is the unique minimum least-squares solution of the following linear squares problem, see, e.g., 14, 21, 22 , ‖b −Ax‖2 min z∈Cn ‖b −Az‖2. 1.9 It is well known also that the singular value decomposition of any rectangular matrix A ∈ Mm,n with rank A r / 0 is given by A U [ D 0 0 0 ] V ∗ : U∗U Im, V ∗V In,...