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Generalized inverses of band matrices
Full text linkIn 1959 Edgar Asplund presented a geometric lemma that largely anticipated many results on the structure of inverses of band matrices. In this note we discuss an extension of Asplund's lemma that addresses the concept of generalized inverse,in particular the Moore-Penrose inverse
Proprieta' delle matrici tridiagonali ad elementi ed a blocchi. Monografia dell'Istituto di Elaborazione dell'Informazione del CNR
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A Condensed Representation of Almost Normal Matrices
Full text linkIn this paper we study the structure of almost normal matrices, that is the matrices for which there exists a rank-one matrix such that . Necessary and sufficient conditions for a matrix to belong to the class are given and a canonical representation as a block tridiagonal matrix is shown. The approach is constructive and in the paper it is explained how, starting from a or matrix we can generate almost normal matrices. Moreover, given an almost normal matrix we can compute the block tridiagonal representation with a finite procedure.<br /
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