Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...

By making use of the HSS iteration as the inner solver for the Newton method, we establish a class of Newton-HSS methods for solving large sparse systems of nonlinear equations with positive definite ...

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 ...

Introduces the fundamentals of linear algebra in the context of computer science applications. Includes vector spaces, matrices, linear systems, and eigenvalues.

Random matrix theory (RMT) has emerged as a powerful framework for analysing complex systems across physics, statistics and beyond, by examining the statistical properties of matrices with random ...