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

Mathematics of Computation, Vol. 23, No. 108 (Oct., 1969), pp. 787-812 (26 pages) The mathematical and numerical least squares solution of a general linear system of equations is discussed.

Such functions are called linear, for reasons that I'll explain soon enough (well, we generally want another condition for linear functions involving scalar multiples of the variable, but I'll ...

Fundamentally, the "big picture" of linear algebra is that of linear transformations. The application of it to solving systems of equations is a convenient introductory point.

The WKB method used in quantum mechanics for solving linear second order ordinary differential equations is generalized to apply to nonlinear partial differential equations. In particular, this ...

Ball splines stand out for their ability to transmit torque and maintain linear motion under load without sacrificing precision. The ball spline functions well in applications ...

Prolate Spheroidal Wave Functions (PSWFs): Special functions optimised for representing band‐limited signals, providing an orthogonal basis with excellent time–frequency localisation.

One of the most common motion applications in automated machinery is linear motion due to its precision capabilities. Guide wheels are often critical to the dependability of such systems, especially ...