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 ...

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 ...

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 ...