A general class of iterative methods is introduced for solving symmetric, positive definite linear systems. These methods use two different approximations to the inverse of the matrix of the problem, ...

Y. Saad, Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems, Mathematics of Computation, Vol. 37, No. 155 (Jul., 1981), pp. 105-126 ...

In particular, when compared to other quantum linear system solving methods, it shows lower quantum resource consumption and faster convergence.

MATH.5640 — Graduate Id: 008440 Offering: 1 Credits: 3-3 Description Computations that involve matrix algorithms are happening everywhere in the world at every moment in time, whether these be ...

It aims to solve linear systems by optimizing the parameters of the quantum circuit, while avoiding the need for large controlled units. The core idea of the algorithm is to optimize the parameters of ...

The most famous quantum linear system solving algorithm is the Harrow-Hassidim-Lloyd (HHL) algorithm, which accelerates the solution of linear systems through quantum superposition and interference.