Linear Algebra in C#

Vectors

Illustrates the basic use of the Vector class for working with vectors.

Illustrates how to perform operations on Vector objects, including construction, element access, arithmetic operations.

Illustrates the basic use of the Matrix class for working with matrices.

Illustrates different ways of iterating through the rows and columns of a matrix using classes in the Extreme.Mathematics.LinearAlgebra namespace.

Illustrates how to perform operations that involve both matrices and vectors.

Illustrates how to work efficiently with upper or lower triangular or trapezoidal matrices.

Illustrates how to work efficiently with symmetric matrices.

Illustrates how to work with the BandMatrix class.

Illustrates using sparse vectors and matrices using the classes in the Extreme.Mathematics.LinearAlgebra.Sparse namespace.

Illustrates how compute various decompositions of a matrix using classes in the Extreme.Mathematics.LinearAlgebra namespace.

Illustrates how to solve systems of simultaneous linear equations.

Illustrates how to solve systems of simultaneous linear equations that have special structure.

Illustrates the use of iterative sparse solvers and preconditioners for efficiently solving large, sparse systems of linear equations.

Illustrates how to solve least squares problems using classes in the Extreme.Mathematics.LinearAlgebra namespace.