This module accepts javascript Arrays or typed arrays representing the bands of a banded matrix and computes the solution using the Thomas Algorithm. A system with one subdiagonal and two ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

In this article, a system of Yang-Baxter-type matrix equations is studied, XAX = BXB, XBX = AXA, which “generalizes” the matrix Yang-Baxter equation and exhibits a broken symmetry. We investigate the ...

An efficient parallel direct solver with a new pivoting scheme is presented for solving impedance matrix equations generated by the higher-order method of moments in high-frequency electromagnetic ...

The system is solved in two consecutive steps using the equations LY = B and UX = Y [9] . The Doolittle method is one alternative way of the LU factorization in which the diagonal elements of the ...

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.

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 ...

A set of differential equations describing the dynamics of the transmission system and connected machines, including the voltage regulators and governors, is formed. The terms of these equations are ...