Hugo J. Woerdeman

collaborators

2 papers

math.OC2026

Finding Maximum Determinant Principal Submatrices via Hadamard Bounds and Projection Methods

Hao Hu, Stefan Sremac, Hugo J. Woerdeman +1

An important yet challenging problem in numerical linear algebra is finding a principal submatrix with maximum determinant from a given symmetric positive semidefinite matrix. This…

math.CV2025

A Fourier analysis approach to disprove the weak Shanks conjecture

Jeffrey S. Geronimo, Hugo J. Woerdeman

We derive formulas for the Fourier coefficients of $∣ f ∣^{2}$ , where $f (z_{1}, z_{2}) = (1 - \frac{z _{1} + z _{2}}{r})^{- I^\pm}$ , in terms of hypergeometric functions. Using these formulas we provide ad…