Homogeneous Sylvester equations of lower triangular matrices

Ackerman, 2013, A probabilistic solution to the AX=XB problem: sensor calibration without correspondence, 693 Bhatia, 1997, How and why to slove the operator equation AX−XB=Y, Bull. Lond. Math. Soc., 29, 1, 10.1112/S0024609396001828 Choi, 2022, Operator means of lower triangular matrices, J. Lie Theory, 32, 175 Hartfiel, 1971, The matrix equation AXB=X, Pac. J. Math., 36, 659, 10.2140/pjm.1971.36.659 Lawson, 2007, Symmetric spaces with convex metrics, Forum Math., 19, 571, 10.1515/FORUM.2007.023 J.D. Lawson, Y. Lim, The Karcher mean on the unipotent matrix group, in preperation. Park, 1994, Robot sensor calibration: solving AX=XB on the Euclidean group, IEEE Trans. Robot. Autom., 10, 717, 10.1109/70.326576 Shiu, 1989, Calibration of wrist-mounted robotic sensors by solving homogeneous transformation equation of the form AX=XB, IEEE Trans. Robot. Autom., 5, 16, 10.1109/70.88014