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Diagonal matrices with corrections of rank k. (Italian. English summary) Zbl 0635.15009

In the class of bordered diagonal matrices modified by a matrix of rank k, the similar matrix as well as the inverse matrix using the Woodbury formula are found for so-called k-tree matrices. For any such matrix a Sturm sequence for the characteristic equation is given in the special case \(k=1\). Some examples are given.
Reviewer: R.Ursianu

MSC:

15A21 Canonical forms, reductions, classification
15A09 Theory of matrix inversion and generalized inverses
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