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Aide de Scilab >> Algèbre Lineaire

Algèbre Lineaire

  • Eigenvalue and Singular Value
    • bdiag — bloc-diagonalisation, vecteurs propres généralisés
    • gspec — valeurs propres d'un faisceau de matrices (obsolete)
    • hess — Forme de Hessenberg
    • pbig — projection sur des sous-espaces propres
    • spec — valeurs propres d'une matrice
    • sva — approximation de valeurs singulières
    • svd — décomposition en valeurs singulières
    • balanc — matrix or pencil balancing
    • gschur — generalized Schur form. This function is obsolete.
    • projspec — spectral operators
    • psmall — spectral projection
    • schur — [ordered] Schur decomposition of matrix and pencils
  • Factorization
    • givens — Transformation de Givens
    • householder — Matrice de Householder
    • sqroot — factorisation hermitienne W*W'
  • Kernel
    • colcomp — compression de colonnes, noyau
    • fullrf — factorisation de rang plein
    • fullrfk — factorisation de rang plein de A^k
    • kernel — noyau
    • range — Image de A^k
    • rowcomp — compression de lignes, image
    • im_inv — inverse image
  • Linear Equations
    • chol — Factorisation de Cholesky
    • inv — inverse d'une matrice
    • linsolve — solveur d'équation linéaire
    • lu — factorisation LU
    • pinv — pseudo-inverse
    • qr — factorisation QR
    • aff2ab — linear (affine) function to A,b conversion
    • lsq — linear least square problems.
    • rankqr — rank revealing QR factorization
  • Matrix Analysis
    • cond — conditionnement
    • det — déterminant
    • orth — calcul d'une base orthogonale
    • rank — rang
    • rcond — estimation de l'inverse du conditionnement
    • trace — trace d'une matrice
    • rref — computes matrix row echelon form by lu transformations
  • Matrice compagnon
    • companion — matrice compagnon
    • glever — inverse d'un faisceau de matrices
    • lyap — Equation de Lyapunov
    • ereduc — computes matrix column echelon form by qz transformations
    • fstair — computes pencil column echelon form by qz transformations
    • kroneck — Kronecker form of matrix pencil
    • pencan — canonical form of matrix pencil
    • penlaur — Laurent coefficients of matrix pencil
    • quaskro — quasi-Kronecker form
    • randpencil — random pencil
    • rowshuff — shuffle algorithm
    • sylv — Sylvester equation.
  • State-Space Matrices
    • coff — résolvante (méthode des cofacteurs)
    • nlev — Algorithme de Leverrier
  • 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
  • Subspaces
  • proj — projection
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with contributors 		Last updated:
Wed Apr 01 10:21:39 CEST 2015