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math.DS2023★ 1 cited
A Bifurcation Lemma for Invariant Subspaces
John M. Neuberger, Nándor Sieben, James W. Swift
The Bifurcation from a Simple Eigenvalue (BSE) Theorem is the foundation of steady-state bifurcation theory for one-parameter families of functions. When eigenvalues of multiplicit…
math.OC2023
On Second-Order Cone Functions
Shafiu Jibrin, James W. Swift
We consider the second-order cone function (SOCF) defined by . Every SOCF is concave. We give necessary and sufficie…