## Matrix inequalities with applications to the theory of iterated kernels

Banks, William David, 1964-

Harcharras, Asma

Neuwirth, Stefan

Ricard, Eric

##### Abstract

For an m × n matrix A with nonnegative real entries, Atkinson, Moran and Watterson proved the inequality s(A)3 ≤ mns(AAtA), where At is the transpose of A, and s(·) is the sum of the entries. We extend this result to finite products of the form AAtAAt . . .A or AAtAAt . . .At and give some applications to the theory
of iterated kernels.

##### Part of

Mathematics publications (MU)