Optimally conditioned block matrices

Bart, 1980, Factorizations of transfer functions, SIAM J. Control Optim., 18, 675, 10.1137/0318051 Bauer, 1963, Optimally scaled matrices, Numer. Math., 5, 73, 10.1007/BF01385880 Demmel, 1982, The condition number of equivalence transformations that block diagonalize matrix pencils, 2, 10.1007/BFb0062091 Eisenstat, 1982, Optimal block diagonal scaling of block 2-cyclic matrices, Linear Algebra Appl., 44, 181, 10.1016/0024-3795(82)90014-3 Elsner, 1984, A note on optimal block scaling of matrices, Numer. Math., 44, 127, 10.1007/BF01389760 Forsythe, 1955, On best conditioned matrices, Proc. Amer. Math. Soc., 6, 340, 10.1090/S0002-9939-1955-0069585-4 Kolotilina, 1998, Eigenvalue bounds and inequalities using vector aggregation of matrices, Linear Algebra Appl., 271, 139, 10.1016/S0024-3795(97)00260-7 Kolotilina, 2000, Optimally conditioned block 2×2 matrices, Zap. Nauchn. Sem. POMI, 268, 72 Lancaster, 1985