The physical problem is to determine the laser-induced molecular resonance states of H_{2}^{+} in an electro-magnetic field. The complex-scaling technique applied to the self-adjoint Hamiltonian from quantum mechanics yields a complex symmetric eigenvalue problem . To determine the stability of the state, Floquet exponents are computed by the standard Fourier-grid method.

Figure 1 displays the eigenvalues computed by the QR algorithm for the matrix QC2534.

Matrices in this set:

QC2534 (complex symmetric indefinite, 2534 by 2534, 463360 entries)

QC324 (complex symmetric indefinite, 324 by 324, 26730 entries)