Function references

C

• Complex numbers in R: complex()
• Complex conjugate: Conj()
• Concatenating matrices by columns cbind() or rows rbind()
• Condition of matrix: pracma::cond()
• Cross product: crossprod()

D

• Determinant: det()
• Diagonal: diag()
• Dot product: pracma::dot()

E

• Eigenvalues and eigenvectors: eigen()

G

• Generalized Eigenvalues: giegen::geigen()

H

• Hankel matrix: pracma::hankel()

I

• Inverse of a matrix: solve()

L

• Least-squares solution to a linear matrix equation: lsfit()
• Lower triangular part of a matrix: pracma::tril() and lower.tri() for logical indexes (excluding diagonal by default).
• LU decomposition: pracma::lu()

M

• Matrix, concatenating by columns cbind() or rows rbind()
• Matrix condition: pracma::cond()
• Matrix, creating: matrix()
• Matrix, determinant: det()
• Matrix diagonal: diag()
• Matrix dimensions: dim()
• Matrix eigenvalues and eigenvectors: eigen
• Matrix inverse: solve()
• Matrix is symmetric (real valued) or Hermitian (complex values): isSymmetric()
• Matrix multiplication: %*%
• Matrix norm: norm()
• Matrix to the power: matrixcalc::matrix.power()
• Matrix pseudoinverse: pracma::pinv()
• Matrix rank: pracma::Rank()
• Matrix trace: pracma::Trace()
• Matrix, triangular parts. Lower pracma::tril() and upper pracma::triu(). Logical indexes (excluding diagonal by default): lower.tri() and upper.tri().

N

• Norm of matrix: norm()
• Null space: pracma::nullspace()

O

• Outer product: outer()

P

• Power function for matrix: matrixcalc::matrix.power()
• Pseudoinverse: pracma::pinv()

Q

• QR decomposition: qr(). To reconstruct Q, R, or X matrices see qr auxiliaries.

R

• Random numbers from a normal distribution: rnorm()
• Random numbers from a uniform distribution: runif()
• Rank: pracma::Rank()
• Reduced Row Echelon Form: pracma::rref()

S

• Sampling from list of numbers (used in the code to sample integers from a range): sample()
• Singular value decomposition: svd()

T

• Toeplitz matrix: toeplitz()
• Trace: pracma::Trace()
• Transpose: t()
• Triangular parts of matrix. Lower pracma::tril() and upper pracma::triu(). Logical indexes (excluding diagonal by default): lower.tri() and upper.tri().

U

• Upper triangular part of a matrix: pracma::triu() and upper.tri() for logical indexes (excluding diagonal by default).

V

• Vector, creating or converting to an atomic vector: c()
• Vector, converting to an atomic vector: as.vector()