qrisp.lanczos.generalized_eigh

generalized_eigh(A: ArrayLike, B: ArrayLike) → Tuple['ArrayLike', 'ArrayLike']

Solves the generalized eigenvalue problem \(A v = \lambda B v\) for a complex Hermitian or real symmetric matrix \(A\) and a real symmetric positive-definite matrix \(B\).

Parameters:

AArrayLike, shape (D, D)

complex Hermitian or real symmetrix matrix.

BArrayLike, shape (D, D)

A real symmetric positive-definite matrix.

Returns:

eigvalsArrayLike, shape (D,)

The generalized eigenvalues.

eigvecsArrayLike, shape (D, D)

The generalized eigenvectors.