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.

Liouville's formula for certain class of linear operator equations of order n is derived. The result is applied to solving a linear second order operator equation. A number of examples which ...

Then we use the operator splitting method to perform time-stepping after space discretization. The resulting linear systems of equations are well conditioned and sparse, and by numerical experiments ...

Certain electromagnetic devices such as differential transformers are effective at translating the displacement of a magnetic armature into an AC voltage, which is a linear function of the ...

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.

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 ...

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.

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...