Package com.irurueta.algebra

package com.irurueta.algebra

This package contains classes related to algebra, such as Matrix class to contains matrices data and simple operations or Complex to handle computations with Complex numbers.

The advanced usage of this package is located under the many Decomposer implementations which allow you to decompose a matrix in different ways and perform operations such as determinant computation or solving linear systems of equations.

Some of the most popular operations can also be found at the Utils class

Class	Description
AlgebraException	Base exception for all exception in the com.irurueta.algebra package
ArrayUtils	Class containing utility methods for common operations with arrays of values.
BuildInfo	Contains build data of this library.
CholeskyDecomposer	This class allows decomposition of matrices using Cholesky decomposition, which consists on retrieving a lower or upper triangular matrix so that input matrix can be decomposed as: A = L * L' = R' * R, where A is provided input matrix, L is a lower triangular matrix and R is an upper triangular matrix.
Complex	Class defining a Complex number having real and imaginary parts.
Decomposer
DecomposerException	Exception raised when some decomposer algorithm fails.
DecomposerType	Enumerator indicating the possible methods available for matrix decomposition.
EconomyQRDecomposer	This decomposer computes economy QR decomposition, which is faster than typical QR decomposition.
FrobeniusNormComputer	Class in charge of computing Frobenius norms of vectors and matrices.
GaussJordanElimination	Computes Gauss-Jordan elimination for provided matrix using full pivoting, which provides greater stability.
InfinityNormComputer	Class in charge of computing infinity norms of vectors and matrices.
LockedException
LUDecomposer	This class allows decomposition of matrices using LU decomposition, which consists on retrieving two triangular matrices (lower triangular and upper triangular) as a decomposition of provided input matrix.
Matrix	Defines a matrix of numerical data.
NoConvergenceException	Exception thrown if some decomposer algorithm cannot converge
NonSymmetricPositiveDefiniteMatrixException	Exception thrown when requiring symmetric positive definite matrices.
NormComputer	Class in charge of computing norms of arrays and matrices.
NormType	Enumerator defining all possible ways of computing norms for matrices and arrays.
NotAvailableException	Exception raised when attempting to retrieve something that is not yet available.
NotReadyException	Exception raised when attempting to do an action when something is not ready.
OneNormComputer	Class in charge of computing one norms of arrays and matrices.
QRDecomposer	This decomposer computes QR decomposition, which consists on factoring provided input matrix into an orthogonal matrix (Q) and an upper triangular matrix (R).
RankDeficientMatrixException	Exception thrown when a matrix does not have full rank.
RQDecomposer	This decomposer computes RQ decomposition, which consists on factoring provided input matrix into an upper triangular matrix (R) and an orthogonal matrix (Q).
SingularMatrixException	Exception thrown when a singular matrix is used.
SingularValueDecomposer	Computes Singular Value matrix decomposition, which consists on factoring provided input matrix into three factors consisting of 2 unary matrices and 1 diagonal matrix containing singular values, following next expression: A = U * S * V'.
Utils	This class contains a series of helper statistics methods that can be used to perform most typical operations in matrix algebra.
WrongSizeException	Exception thrown when using matrices having wrong size.