how to calculate Hermitian Toeplitz system of equations on fpga in vhdl
Have you heard of the Schur algorithm? It has about the same complexity as Levinson's algorithm but it is said to have better numerical stability. It is described among others in this paper. There are also other methods, as described in this paper (and the references therein). I should add that I do not know specifically about how well these algorithms are suited for FPGA implementation, but at least you know some alternatives now.