Completion of Toeplitz Partial Contractions
Charles R. Johnson, Leiba Rodman · SIAM Journal on Matrix Analysis and Applications · 1988
Those patterns for the specified entries of a partial Toeplitz matrix (whose specified entries occur on consecutive diagonals) are characterized, which ensure that a Toeplitz partial contraction may be completed to a Toeplitz contraction. The answer is rather different from that of the corresponding question without the Toeplitz condition.