Title: Globally convergent Jacobi-type algorithms for simultaneous orthogonal symmetric tensor diagonalization,
Abstract: In this paper, we consider a family of Jacobi-type algorithms for
simultaneous orthogonal diagonalization problem of symmetric tensors. For the
Jacobi-based algorithm of [SIAM J. Matrix Anal. Appl., 2(34):651--672, 2013],
we prove its global convergence for simultaneous orthogonal diagonalization of
symmetric matrices and 3rd-order tensors. We also propose a new Jacobi-based
algorithm in the general setting and prove its global convergence for
sufficiently smooth functions.