Submatrix Selection for Matrices with Orthonormal Columns

Published in Research note, 2026

This research note studies the Goreinov-Tyrtyshnikov-Zamarashkin conjecture on lower bounds for the smallest singular value of a three-row submatrix of a real three-frame. It gives improved lower bounds and several structured cases while leaving the unrestricted conjecture open.

Recommended citation: Tongren Xiao. "Submatrix Selection for Matrices with Orthonormal Columns." Research note, 2026.
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