Applications of theory of simultaneous diagonalization of several Hermitian forms †
- 1 December 1973
- journal article
- research article
- Published by Taylor & Francis in International Journal of Electronics
- Vol. 35 (6), 721-735
- https://doi.org/10.1080/00207217308938599
Abstract
In this paper sets of necessary and sufficient conditions for simultaneous reducibility to diagonal forms of two or more prescribed Hermitian forms are summarized and the procedure for computation of the required transformation outlined, with a view towards applying these results in various problems of electronics. Application of the results to Foster-type canonic synthesis of networks containing positive and negative resistors, inductors and capacitors is discussed. The theory is also applied towards a solution of a certain problem occurring in the Anderson-Duffin parallel addition of matrices. Furthermore, other possible applications are discussed, and examples included, wherever these serve to illustrate better the procedure.Keywords
This publication has 4 references indexed in Scilit:
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- A quadratic form representation of polynomials of several variables and its applicationsIEEE Transactions on Automatic Control, 1968
- On the simultaneous diagonalization of two semi-definite matricesQuarterly of Applied Mathematics, 1961
- Über die Zerlegung definiter Funktionen in QuadrateAbhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 1927