# Collection of Functions for Matrix Calculations

## Documentation for package ‘matrixcalc’ version 1.0-5

- DESCRIPTION file.

## Help Pages

%s% | Direct sum of two arrays
commutation.matrix | Commutation matrix for r by c numeric matrices
creation.matrix | Creation Matrix
D.matrix | Duplication matrix
direct.prod | Direct prod of two arrays
direct.sum | Direct sum of two arrays
duplication.matrix | Duplication matrix for n by n matrices
E.matrices | List of E Matrices
elimination.matrix | Elimination matrix for lower triangular matrices
entrywise.norm | Compute the entrywise norm of a matrix
fibonacci.matrix | Fibonacci Matrix
frobenius.matrix | Frobenius Matrix
frobenius.norm | Compute the Frobenius norm of a matrix
frobenius.prod | Frobenius innter product of matrices
H.matrices | List of H Matrices
hadamard.prod | Hadamard product of two matrices
hankel.matrix | Hankel Matrix
hilbert.matrix | Hilbert matrices
hilbert.schmidt.norm | Compute the Hilbert-Schmidt norm of a matrix
inf.norm | Compute the infinitity norm of a matrix
is.diagonal.matrix | Test for diagonal square matrix
is.idempotent.matrix | Test for idempotent square matrix
is.indefinite | Test matrix for positive indefiniteness
is.negative.definite | Test matrix for negative definiteness
is.negative.semi.definite | Test matrix for negative semi definiteness
is.non.singular.matrix | Test if matrix is non-singular
is.positive.definite | Test matrix for positive definiteness
is.positive.semi.definite | Test matrix for positive semi-definiteness
is.singular.matrix | Test for singular square matrix
is.skew.symmetric.matrix | Test for a skew-symmetric matrix
is.square.matrix | Test for square matrix
is.symmetric.matrix | Test for symmetric numeric matrix
K.matrix | K Matrix
L.matrix | Construct L Matrix
lower.triangle | Lower triangle portion of a matrix
lu.decomposition | LU Decomposition of Square Matrix
matrix.inverse | Inverse of a square matrix
matrix.power | Matrix Raised to a Power
matrix.rank | Rank of a square matrix
matrix.trace | The trace of a matrix
maximum.norm | Maximum norm of matrix
N.matrix | Construct N Matrix
one.norm | Compute the one norm of a matrix
pascal.matrix | Pascal matrix
set.submatrix | Store matrix inside another matrix
shift.down | Shift matrix m rows down
shift.left | Shift a matrix n columns to the left
shift.right | Shift matrix n columns to the right
shift.up | Shift matrix m rows up
spectral.norm | Spectral norm of matrix
stirling.matrix | Stirling Matrix
svd.inverse | SVD Inverse of a square matrix
symmetric.pascal.matrix | Symmetric Pascal matrix
T.matrices | List of T Matrices
toeplitz.matrix | Toeplitz Matrix
u.vectors | u vectors of an identity matrix
upper.triangle | Upper triangle portion of a matrix
vandermonde.matrix | Vandermonde matrix
vec | Vectorize a matrix
vech | Vectorize a matrix