Abstract
Löwner matrices are special matrices which were first used by Löwner in [4] to characterize the so-called monotone matrix functions. Löwner showed also their connection with the problem of rational interpolation (for these questions see also Donoghue [2], Belevitch [1] and Fiedler [3]). Löwner matrices also occur in applications, for example in the theory of electric networks. In this paper we show that for a nonsingular Löwner matrix L = c i−d j y i−z j n−1 i,j=0 the matrix ( L -1) T can be written in the form ( L -1) T = D 1 L′ D 2 where D 1 and D 2 are diagonal matrices and L′ is again a Löwner matrix of the form y i−δ j y i−z j n−1 i,j=0 For a more detailed description of all forms L -1 = D 1 L′ D 2 possible we introduce the notion of D-classes of the Löwner matrices.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
