|
Online ISSN 1552-4485; Print ISSN 0033-569X
The Kron method of tearing and the dual method of identification
Author:
A. I. Weinzweig
Journal:
Quart. Appl. Math. 18 (1960), 183-190
MSC:
Primary 78.00; Secondary 15.00
DOI:
https://doi.org/10.1090/qam/112587
MathSciNet review:
112587
Full-text PDF Free Access
References | Similar Articles | Additional Information
- Beno Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex, Comment. Math. Helv. 17 (1945), 240–255 (German). MR 13318, DOI https://doi.org/10.1007/BF02566245 G. Kron, Tensor analysis of networks, John Wiley and Sons, New York, 1939
- Gabriel Kron, A set of principles to interconnect the solutions of physical systems, J. Appl. Phys. 24 (1953), 965–980. MR 60913
- Gabriel Kron, A method of solving very large physical systems in easy stages, Proc. I.R.E. 42 (1954), 680–686. MR 60305 G. Kron, Solving highly complex elastic structures in easy stages, J. Appl. Mechanics, Paper No. 54–A–25
- Gabriel Kron, Detailed example of interconnecting piecewise solutions, J. Franklin Inst. 259 (1955), 307–333. MR 68320, DOI https://doi.org/10.1016/0016-0032%2855%2990641-4
- Gabriel Kron, Tearing and interconnecting as a form of transformation, Quart. Appl. Math. 13 (1955), 147–159. MR 73431, DOI https://doi.org/10.1090/S0033-569X-1955-73431-7 P. LeCorbeiller, Matrix analysis of electrical networks, Harvard University Press, 1950 J. C. Maxwell, Electricity and magnetism, Clarendon Press, Oxford, 1873
- J. P. Roth, An application of algebraic topology to numerical analysis: on the existence of a solution to the network problem, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 518–521. MR 74094, DOI https://doi.org/10.1073/pnas.41.7.518
- J. P. Roth, The validity of Kron’s method of tearing, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 599–600. MR 74095, DOI https://doi.org/10.1073/pnas.41.8.599
- J. Paul Roth, An application of algebraic topology: Kron’s method of tearing, Quart. Appl. Math. 17 (1959), 1–24. MR 104337, DOI https://doi.org/10.1090/S0033-569X-1959-0104337-1 A. I. Weinzweig, Topology and network theory, in preparation
Retrieve articles in Quarterly of Applied Mathematics with MSC: 78.00, 15.00
Retrieve articles in all journals with MSC: 78.00, 15.00
Additional Information
Article copyright:
© Copyright 1960
American Mathematical Society