Linear Algebra in F#
Vectors
Basic Vectors
Illustrates the basic use of the Vector class for working with vectors.
Vector Operations
Illustrates how to perform operations on Vector objects, including construction, element access, arithmetic operations.
Matrices
Basic Matrices
Illustrates the basic use of the Matrix class for working with matrices.
Accessing Matrix Elements
Illustrates different ways of iterating through the rows and columns of a matrix using classes in the Numerics.NET.LinearAlgebra namespace.
Matrix-Vector Operations
Illustrates how to perform operations that involve both matrices and vectors.
Triangular Matrices
Illustrates how to work efficiently with upper or lower triangular or trapezoidal matrices.
Symmetric Matrices
Illustrates how to work efficiently with symmetric matrices.
Band Matrices
Illustrates how to work with the BandMatrix class.
Sparse Matrices
Illustrates using sparse vectors and matrices using the classes in the Numerics.NET.LinearAlgebra.Sparse namespace.
Matrix Decompositions
Illustrates how compute various decompositions of a matrix using classes in the Numerics.NET.LinearAlgebra namespace.
Solving Equations and Least Squares
Linear Equations
Illustrates how to solve systems of simultaneous linear equations.
Structured Linear Equations
Illustrates how to solve systems of simultaneous linear equations that have special structure.
Iterative Sparse Solvers
Illustrates the use of iterative sparse solvers and preconditioners for efficiently solving large, sparse systems of linear equations.
Least Squares
Illustrates how to solve least squares problems using classes in the Numerics.NET.LinearAlgebra namespace.
Tensors
Basic Tensors
Illustrates the basic use of the Tensor class for working with tensors.
Accessing Tensor Elements
Illustrates different ways of accessing elements of a tensor and sub-tensors using classes in the Numerics.NET.Tensors namespace.
Tensor Operations
Illustrates how to perform operations on tensors.