4 citations · 4 across the 2 of their papers we have counts for
2 papers
math.FA2023
Matrix monotonicity and concavity of the principal pivot transform
Kenneth Beard, Aaron Welters
We prove the (generalized) principal pivot transform is matrix monotone, in the sense of the Löwner ordering, under minimal hypotheses. This improves on the recent results of J. E.…
math-ph2022★ 4 cited
Effective operators and their variational principles for discrete electrical network problems
Kenneth Beard, Anthony Stefan, Robert Viator +1
Using a Hilbert space framework inspired by the methods of orthogonal projections and Hodge decompositions, we study a general class of problems (called Z-problems) that arise in e…