
Example:
jordan returns
Diagonal
Given a list, returns a matrix with the list elements along its diagonal and zeroes elsewhere. Given a matrix,
returns a vector of the elements along its diagonal.
diag(list) or diag(matrix)
Example:
diag returns [1 4]
Cholesky
For a numerical symmetric matrix A, returns the matrix L such that A=L*tran(L).
cholesky(matrix)
Example:
In CAS view, cholesky returns after simplication
Hermite
Hermite normal form of a matrix with coeicients in Z: returns U,B such that U is invertible in Z, B is upper
triangular and B=U*A.
ihermite(Mtrx(A))
Example:
ihermite returns
Hessenberg
Matrix reduction to Hessenberg form. Returns [P,B] such that B=inv(P)*A*P.
hessenberg(Mtrx(A))
Example:
In CAS view, hessenberg returns
538 Chapter 26 Matrices
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