C. C. Paige, Bidiagonalization of Matrices and Solution of Linear Equations, SIAM Journal on Numerical Analysis, Vol. 11, No. 1 (Mar., 1974), pp. 197-209 ...

This algorithm is based on a combination of Variational Quantum Algorithms (VQA) and the classical shadow framework, overcoming the hardware resource bottlenecks of traditional quantum linear solver ...

We consider linear systems arising from the use of the finite element method for solving scalar linear elliptic problems. Our main result is that these linear systems, which are symmetric and positive ...