ResistorArray (version 1.0-32)

Wu: Wu's resistance matrix

Description

Returns a matrix M with M[i,j] is the resistance between nodes i and j.

Usage

Wu(L)

Arguments

L

Laplacian conductance matrix

Value

Returns a matrix of the same size as L, but whose elements are the effective resistance between the nodes.

Details

Evaluates Wu's resistance matrix, as per his theorem on page 6656.

References

F. Y. Wu, 2004. “Theory of resistor networks: the two point resistance”, Journal of Physics A, volume 37, pp6653-6673

See Also

resistance

Examples

# NOT RUN {
Wu(cube())

Wu(cube())[1,2] - resistance(cube(),1,2)

Wu(series(1:7))  # observe how resistance between, say, nodes 2
                 # and 5 is 9 (=2+3+4)

# }