A Krylov space approach to Singular Value Decomposition in non-Hermitian
systems
A Krylov space approach to Singular Value Decomposition in non-Hermitian
systems
We propose a novel tridiagonalization approach for non-Hermitian random matrices and Hamiltonians using singular value decomposition (SVD). This technique leverages the real and non-negative nature of singular values, bypassing the complex eigenvalues typically found in non-Hermitian systems. We analyze the tridiagonal elements, namely the Lanczos coefficients and the associated Krylov …