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Scilab Help >> Linear Algebra

Linear Algebra

  • Eigenvalue and Singular Value
    • balanc — matrix or pencil balancing
    • bdiag — block diagonalization, generalized eigenvectors
    • gschur — generalized Schur form. This function is obsolete.
    • gspec — eigenvalues of matrix pencil. This function is obsolete.
    • hess — Hessenberg form
    • pbig — eigen-projection
    • projspec — spectral operators
    • psmall — spectral projection
    • schur — [ordered] Schur decomposition of matrix and pencils
    • spec — eigenvalues of matrices and pencils
    • sva — singular value approximation
    • svd — singular value decomposition
  • Factorization
    • givens — Givens transformation
    • householder — Householder orthogonal reflexion matrix
    • sqroot — W*W' hermitian factorization
  • Kernel
    • colcomp — column compression, kernel, nullspace
    • fullrf — full rank factorization
    • fullrfk — full rank factorization of A^k
    • im_inv — inverse image
    • kernel — kernel, null space
    • range — range (span) of A^k
    • rowcomp — row compression, range
  • Linear Equations
    • aff2ab — linear (affine) function to A,b conversion
    • chol — Cholesky factorization
    • inv — matrix inverse
    • linsolve — linear equation solver
    • lsq — linear least square problems.
    • lu — LU factorization with pivoting
    • pinv — pseudoinverse
    • qr — QR decomposition
    • rankqr — rank revealing QR factorization
  • Markov Matrices
    • classmarkov — recurrent and transient classes of Markov matrix
    • eigenmarkov — normalized left and right Markov eigenvectors
    • genmarkov — generates random markov matrix with recurrent and transient classes
  • Matrix Analysis
    • cond — condition number
    • det — determinant
    • orth — orthogonal basis
    • rank — rank
    • rcond — inverse condition number
    • rref — computes matrix row echelon form by lu transformations
    • trace — trace
  • Matrix Pencil
    • companion — companion matrix
    • ereduc — computes matrix column echelon form by qz transformations
    • fstair — computes pencil column echelon form by qz transformations
    • glever — inverse of matrix pencil
    • kroneck — Kronecker form of matrix pencil
    • lyap — Lyapunov equation
    • pencan — canonical form of matrix pencil
    • penlaur — Laurent coefficients of matrix pencil
    • quaskro — quasi-Kronecker form
    • randpencil — random pencil
    • rowshuff — shuffle algorithm
  • State-Space Matrices
    • coff — resolvent (cofactor method)
    • nlev — Leverrier's algorithm
  • Subspaces
  • proj — projection
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with contributors 		Last updated:
Wed Jun 15 08:27:34 CEST 2016