Network Synthesis Through Hybrid Matrices
1966; Society for Industrial and Applied Mathematics; Volume: 14; Issue: 2 Linguagem: Inglês
10.1137/0114032
ISSN1095-712X
AutoresR. J. Duffin, D. Hazony, Natasha Morrison,
Tópico(s)Advanced Optical Network Technologies
ResumoPrevious article Next article Network Synthesis Through Hybrid MatricesR. J. Duffin, D. Hazony, and N. MorrisonR. J. Duffin, D. Hazony, and N. Morrisonhttps://doi.org/10.1137/0114032PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. Belevitch, On the Brune process for n-ports, IRE Trans. Circuit Theory, CT-7 (1960), 280–296 CrossrefGoogle Scholar[2A] R. Bott and , R. J. Duffin, On the algebra of networks, Trans. Amer. Math. Soc., 74 (1953), 99–109 MR0056573 0050.25104 CrossrefISIGoogle Scholar[2B] R. J. Duffin, An analysis of the Wang algebra of networks, Trans. Amer. Math. Soc., 93 (1959), 114–131 MR0109161 0114.06503 CrossrefGoogle Scholar[3] H. J. Carlin, The scattering matrix in network theory, IRE Trans. Circuit Theory, CT-3 (1956), 88–97 CrossrefGoogle Scholar[4] R. J. Duffin, Elementary operations which generate network matrices, Proc. Amer. Math. Soc., 6 (1955), 335–339 MR0072725 CrossrefGoogle Scholar[5] R. J. Duffin and , D. 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Weinberg, Network Analysis and Synthesis, McGraw-Hill, New York, 1962, 431–442 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Extension of the Bessmertnyĭ Realization Theorem for Rational Functions of Several Complex VariablesComplex Analysis and Operator Theory, Vol. 15, No. 7 | 3 October 2021 Cross Ref Some additive results on M-P inverse of operator productAsian-European Journal of Mathematics, Vol. 14, No. 01 | 18 October 2019 Cross Ref On parallel sum of matricesLinear and Multilinear Algebra, Vol. 65, No. 10 | 7 May 2017 Cross Ref Extremal ranks of some matrix expression with applicationsJournal of Interdisciplinary Mathematics, Vol. 20, No. 2 | 12 May 2017 Cross Ref The least squares g -inverses for sum of matricesLinear and Multilinear Algebra, Vol. 61, No. 4 | 1 Apr 2013 Cross Ref J-Orthogonal Matrices: Properties and GenerationSIAM Review, Vol. 45, No. 3 | 4 August 2006AbstractPDF (496 KB)Principal pivot transforms: properties and applicationsLinear Algebra and its Applications, Vol. 307, No. 1-3 | 1 Mar 2000 Cross Ref On manifestations of the Schur complementRendiconti del Seminario Matematico e Fisico di Milano, Vol. 45, No. 1 | 1 Dec 1975 Cross Ref The brune synthesis in state-space termsInternational Journal of Circuit Theory and Applications, Vol. 3, No. 2 | 1 Jun 1975 Cross Ref Matrix Operations Induced by Network ConnectionsSIAM Journal on Control, Vol. 13, No. 2 | 18 July 2006AbstractPDF (1533 KB)On hybrid addition of matricesLinear Algebra and its Applications, Vol. 10, No. 1 | 1 Feb 1975 Cross Ref Adjacency matrix concepts for the analysis of the interconnection of networksJournal of the Franklin Institute, Vol. 298, No. 1 | 1 Jul 1974 Cross Ref Manifestations of the Schur complementLinear Algebra and its Applications, Vol. 8, No. 3 | 1 Jun 1974 Cross Ref Network synthesis--A state-space approachIEEE Transactions on Circuit Theory, Vol. 19, No. 3 | 1 May 1972 Cross Ref Reciprocal Lossless Synthesis of Hybrid Parameters of LCT Networks by State-Space ApproachIEEE Transactions on Circuit Theory, Vol. 19, No. 1 | 1 Jan 1972 Cross Ref Hybrid addition of matrices— network theory concept†Applicable Analysis, Vol. 2, No. 3 | 10 May 2007 Cross Ref Tripartite graphs to analyze the interconnection of networksGraph Theory and Applications | 27 August 2006 Cross Ref Permutation network operatorsIEEE Transactions on Circuit Theory, Vol. 17, No. 1 | 1 Feb 1970 Cross Ref Series and parallel addition of matricesJournal of Mathematical Analysis and Applications, Vol. 26, No. 3 | 1 Jun 1969 Cross Ref Volume 14, Issue 2| 1966SIAM Journal on Applied Mathematics209-416 History Submitted:25 August 1964Published online:13 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0114032Article page range:pp. 390-413ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics
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