Linear Algebra
%*%Matrix Multiplication Operator
apermArray Permutations
aperm.defaultArray Permutations
applyApply a Function to Sections of an Array
as.MatrixConversion to Matrix Objects
as.qrQR Matrix Decomposition
backsolveBacksolve Upper-Triangular Equations
cholCholeski Decomposition of Symmetric Matrix
crossprodMatrix Cross Product
detDeterminant of a Matrix --- Generic Function
det.eigen.HermitianDeterminant of Hermitian Matrix from Eigenvalues
det.eigen.MatrixDeterminant of a Matrix from Eigenvalue Decomposition
det.HermitianDeterminant of a Hermitian Matrix
det.LowerTriangularDeterminant of a Triangular Matrix
det.lu.HermitianDeterminant of a Hermitian Matrix from Triangular Factorization
det.lu.MatrixDeterminant of a Matrix from LU Decomposition
det.MatrixDeterminant of a Matrix
det.objectDeterminant Object
det.qr.MatrixDeterminant of a Matrix from QR Decomposition
det.schur.MatrixDeterminant of a Matrix from Schur Decomposition
det.svd.MatrixDeterminant of a Matrix from Singular-Value Decomposition
det.UnitLowerTriangularDeterminant of a Triangular Matrix
det.UnitUpperTriangularDeterminant of a Triangular Matrix
det.UpperTriangularDeterminant of a Triangular Matrix
diagDiagonal Matrices
eigenEigenvalues and Eigenvectors of a Matrix
eigen.defaultEigenvalues and Eigenvectors of a Matrix
eigen.HermitianEigenvalue Decomposition of a Hermitian Matrix
eigen.Hermitian.objectHermitian Eigenvalue Decomposition Object
eigen.MatrixEigenvalue Decomposition of a Matrix
eigen.Matrix.objectEigenvalue Decomposition Object
expandExpand a Decomposition into Factors --- Generic Function
expand.eigen.Matrix.objectExpanded Eigenvalue Decomposition Object
expand.lu.Hermitian.objectExpanded Symmetric-Indefinite Decomposition Object
expand.lu.Matrix.objectExpanded LU Decomposition Object
expand.qr.Matrix.objectExpanded QR Decomposition Object
facmulMultiplication by Decomposition Factors --- Generic Function
facmul.lu.HermitianMultiplication by Factors from a Symmetric Indefinite Decomposition
facmul.lu.MatrixMultiplication by Factors from an LU Decomposition
facmul.qr.MatrixMultiplication by Factors from a QR Decomposition
Hermitian.testTest for Symmetry or Conjugate Symmetry in a Matrix
is.ColOrthonormalTest for Orthonormality in a Matrix
is.HermitianTest for Symmetry or Conjugate Symmetry in a Matrix
is.LowerTriangularTest for Triangularity in a Matrix
is.OrthonormalTest for Orthonormality in a Matrix
is.qrQR Matrix Decomposition
is.RowOrthonormalTest for Orthonormality in a Matrix
is.UpperTriangularTest for Triangularity in a Matrix
la.envSet Tuning Parameters for Linear Algebra Computations
.laenvTuning Parameters for Linear Algebra Computations
LowerTriangular.testTest for Triangularity in a Matrix
luTriangular Decomposition of a Matrix --- Generic Function
lu.HermitianTriangular Decomposition of a Hermitian Matrix
lu.Hermitian.objectSymmetric Indefinite Factorization Object
lu.MatrixTriangular (LU) Decomposition of a Matrix
lu.Matrix.objectLU Decomposition Object
MatrixConstruct a Classed Matrix
Matrix.classSubclass Determination for Matrices.
Matrix-productMatrix Multiplication Operator
normNorms and Related Functions for Matrices --- Generic Function
norm.eigen.HermitianSpectral Norm for Hermitian Matrices
norm.HermitianNorm of a Hermitian Matrix
norm.LowerTriangularMatrix Norm for Triangular Matrices.
norm.MatrixNorm of a Matrix
norm.svd.MatrixSpectral Norm from Eigenvalue Decomposition
norm.UnitLowerTriangularMatrix Norm for Triangular Matrices.
norm.UnitUpperTriangularMatrix Norm for Triangular Matrices.
norm.UpperTriangularMatrix Norm for Triangular Matrices.
%o%Generalized Outer Products
Orthonormal.testTest for Orthonormality in a Matrix
outerGeneralized Outer Products
prcompPrincipal Components Analysis
qrQR Matrix Decomposition
qr.coefUse a QR Matrix Decomposition
qr.defaultQR Matrix Decomposition
qr.fittedUse a QR Matrix Decomposition
qr.MatrixQR Decomposition of a Matrix
qr.Matrix.objectQR Decomposition Object
qr.QReconstruct the Q, R, or X Matrices from a QR Object
qr.qtyUse a QR Matrix Decomposition
qr.qyUse a QR Matrix Decomposition
qr.RReconstruct the Q, R, or X Matrices from a QR Object
qr.residUse a QR Matrix Decomposition
qr.XReconstruct the Q, R, or X Matrices from a QR Object
rcondReciprocal Condition Estimation for Matrices --- Generic Function
rcond.eigen.HermitianCondition Number for Hermitian Matrices from Eigenvalues
rcond.HermitianCondition Estimation for Hermitian Matrices
rcond.LowerTriangularCondition Estimation for Triangular Matrices
rcond.lu.HermitianCondition Estimation for Hermitian Matrices from Triangular Decomposition
rcond.lu.MatrixCondition Estimation for Matrices from LU Decomposition
rcond.MatrixCondition Estimation for Matrices
rcond.qr.MatrixCondition Estimation for Matrices from QR Decomposition
rcond.svd.MatrixCondition Number for Matrices from Singular Values
rcond.UnitLowerTriangularCondition Estimation for Triangular Matrices
rcond.UnitUpperTriangularCondition Estimation for Triangular Matrices
rcond.UpperTriangularCondition Estimation for Triangular Matrices
scaleScale Columns of a Matrix
schurSchur Decomposition of a Matrix --- Generic Function
schur.MatrixSchur Decomposition of a Matrix
schur.Matrix.objectSchur Decomposition Object
schurmodReordered Schur Factorization
solveSolve Linear Equations and Invert Matrices - Generic Function
solve.defaultSolve Linear Equations and Invert Matrices - Generic Function
solve.eigen.HermitianSolve and Inverse with Hermitian Eigenvalue Decomposition
solve.HermitianSolve and Inverse for Hermitian Matrices
solve.LowerTriangularSolve and Inverse for Triangular Matrices
solve.lu.HermitianSolve and Inverse with Symmetric Indefinite Decomposition
solve.lu.MatrixSolve and Inverse with LU Decomposition
solve.MatrixSolve and Inverse for General Matrices
solve.qr.MatrixSolve and Pseudo-Inverse with QR Decomposition
solve.svd.MatrixSolve/Pseudo-Inverse with Singular Value Decomposition
solve.UnitLowerTriangularSolve and Inverse for Triangular Matrices
solve.UnitUpperTriangularSolve and Inverse for Triangular Matrices
solve.UpperTriangularSolve and Inverse for Triangular Matrices
svdSingular Value Decomposition of a Matrix
svd.defaultSingular Value Decomposition of a Matrix
svd.MatrixSingular Value Decomposition of a Matrix
svd.Matrix.objectSingular Value Decomposition Object
tMatrix Transpose
t.defaultMatrix Transpose
unpackFull Storage Representation for Packed Matrices --- Generic Function
UpperTriangular.testTest for Triangularity in a Matrix
vecnormp-norm of a Vector