QLSP refers to the problem of solving linear systems of equations using quantum computing. Solutions to the QLSP often rely on the quantumization of classical linear algebra algorithms used in ...

Solving Linear Systems (SymPy) Most linear algebra courses start by considering how to solve a system of linear equations.

That technique, called matrix multiplication, previously set a hard speed limit on just how quickly linear systems could be solved. It still features in the work, but in a complementary role. The ...

Lower-upper (LU) factorization is an important numerical algorithm used to solve systems of linear equations in science and engineering. [i] These linear systems of equations can be expressed as a ...

SIAM Journal on Numerical Analysis, Vol. 12, No. 4 (Sep., 1975), pp. 617-629 (13 pages) The method of conjugate gradients for solving systems of linear equations with a symmetric positive definite ...

An n × n complex matrix A is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix P if A = PAP (A = — PAP). The reflexive and anti-reflexive matrices have ...

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 ...