Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Abstract: Riccati matrix equation (RME), a critical nonlinear matrix equation in autonomous driving and deep learning. However, memory-compute separation in traditional solving systems leads to ...

Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

ABSTRACT: For A∈CmΧn, if the sum of the elements in each row and the sum of the elements in each column are both equal to 0, then A is called an indeterminate admittance matrix. If A is an ...

This is a preview. Log in through your library . Abstract An n × n complex matrix P is said to be a generalized reflection matrix if P* = P and P² = I (where P* is the conjugate transpose of P). An n ...

Abstract: The line search has undergone numerous important improvements throughout the years, with many researchers concentrating on offering and developing developments that are suitable techniques ...

1. Solve the following system of equations by elimination. Part A First eliminate x 3. Step 1. Add the 1st original equation and the 3rd original equation. Step 2. Multiply the 2nd original equation ...