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.

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 ...

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.

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 ...

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 ...

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

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 ...