5 citations · 11 across the 4 of their papers we have counts for
4 papers
On matrix balancing and eigenvector computation
Rodney James, Julien Langou, Bradley R. Lowery
Balancing a matrix is a preprocessing step while solving the nonsymmetric eigenvalue problem. Balancing a matrix reduces the norm of the matrix and hopefully this will improve the…
Riemann-Roch theory on finite sets
Rodney James, Rick Miranda
In [1] M. Baker and S. Norine developed a theory of divisors and linear systems on graphs, and proved a Riemann-Roch Theorem for these objects (conceived as integer-valued function…
Linear Systems on Edge-Weighted Graphs
Rodney James, Rick Miranda
Let R be any subring of the reals. We present a generalization of linear systems on graphs where divisors are R-valued functions on the set of vertices and graph edges are permitte…
A Riemann-Roch theorem for edge-weighted graphs
Rodney James, Rick Miranda
We prove a Riemann-Roch theorem for real divisors on edge-weighted graphs over the reals, extending the result of Baker and Norine for integral divisors on graphs with multiple edg…