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New Inversion Formulas for Matrices Classified in Terms of their Distance from Toeplitz Matrices
Stanford University, CA, USA.
Stanford University, CA, USA.
Stanford University, CA, USA.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1979 (English)In: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 27, 31-60 p.Article in journal (Refereed) Published
Abstract [en]

The problem of solving linear equations, or equivalently of inverting matrices, arises in many fields. Efficient recursive algorithms for finding the inverses of Toeplitz or displacement-type matrices have been known for some time. By introducting a way of characterizing matrices in terms of their “distance” from being Toeplitz, a natural extension of these algorithms is obtained. Several new inversion formulas for the representation of the inverse of non-Toeplitz matrices are also presented.

Place, publisher, year, edition, pages
Elsevier, 1979. Vol. 27, 31-60 p.
Keyword [en]
Toeplitz matrices, Inversion formulas
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-102125DOI: 10.1016/0024-3795(79)90030-2OAI: diva2:668558
Available from: 2013-12-01 Created: 2013-12-01 Last updated: 2013-12-01

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Ljung, Lennart
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Automatic ControlThe Institute of Technology
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