HP NW280-200X User Manual page 431

Cholesky
Hermite
Hessenberg
Smith
Factorize
Matrices
For a numerical symmetric matrix A, returns L matrix such
that A=L*tran(L).
cholesky(Mtrx)
Hermite normal form of a matrix with coefficients in Z:
returns U,B such that U is invertible in Z, B is upper
triangular and B=U*A.
ihermite(Mtrx(A))
Matrix reduction to Hessenberg form. Returns [P,B] such
that B=inv(P)*A*P.
hessenberg(Mtrx(A))
Smith normal form of a matrix with coefficients in Z:
returns U,B,V such that U and V invertible in Z, B is
diagonal, B[i,i] divides B[i+1,i+1], and B=U*A*V.
ismith(Mtrx(A))
LQ LQ Factorization. Factorizes a m × n matrix into three
matrices L, Q, and P, where
{[L[m × n lowertrapezoidal]],[Q[n × n orthogonal]],
[P[m × m permutation]]}and P*A=L*Q.
LQ
(matrix)
LSQ Least Squares. Displays the minimum norm least squares
matrix (or vector) corresponding to the system
matrix1*X=matrix2.
LSQ(matrix1, matrix2)
LU LU Decomposition. Factorizes a square matrix into three
matrices L, U, and P, where
{[L[lowertriangular]],[U[uppertriangular]],[P[permutation]]
}}
and P*A=L*U.
LU(matrix)
QR QR Factorization. Factorizes an m×n matrix A numerically
as Q*R, where Q is an orthogonal matrix and R is an
upper triangular matrix, and returns R. R is stored in var2
and Q=A*inv(R) is stored in var1.
QR(matrix A,var1,var2)
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