4 citations · 10 across the 19 of their papers we have counts for
15 papers · 1 filter
Monotonicity of the principal pivot transform
J. E. Pascoe, Ryan Tully-Doyle
We prove that the principal pivot transform (also known as the partial inverse, sweep operator, or exchange operator in various contexts) maps matrices with positive imaginary part…
Invariant structure preserving functions and an Oka-Weil Kaplansky density type theorem
J. E. Pascoe
We develop the theory of invariant structure preserving and free functions on a general structured topological space. We show that an invariant structure preserving function is poi…
Free noncommutative principal divisors and commutativity of the tracial fundamental group
J. E. Pascoe
We define the principal divisor of a free noncommuatative function. We use these divisors to compare the determinantal singularity sets of free noncommutative functions. We show th…
Analytic continuation of concrete realizations and the McCarthy Champagne conjecture
Kelly Bickel, J. E. Pascoe, Ryan Tully-Doyle
In this paper, we give formulas that allow one to move between transfer function type realizations of multi-variate Schur, Herglotz and Pick functions, without adding additional si…
Trace minmax functions and the radical Laguerre-Pólya class
J. E. Pascoe
We classify functions which satisfy the inequality when are self-adj…
Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications
Meric Augat, Michael T. Jury, James Eldred Pascoe
We provide an effective single-matrix criterion, in terms of what we call the elementary Pick matrix, for the solvability of the noncommutative Nevanlinna-Pick interpolation proble…