QR

QR Factorization. Factors an m× n matrix into three matrices:

 

{[[m× m orthogonal]],[[m× n uppertrapezoidal]],[[n× n

 

permutation]]}.

 

QR(matrix)

RANK

Rank of a rectangular matrix.

 

RANK(matrix)

ROWNORM

Row Norm. Finds the maximum value (over all rows) for the

 

sums of the absolute values of all elements in a row.

 

ROWNORM(matrix)

RREF

Reduced Row Echelon Form. Changes a rectangular matrix to

 

its reduced row-echelon form.

 

RREF(matrix)

SCHUR

Schur Decomposition. Factors a square matrix into two

 

matrices. If matrix is real, then the result is

 

{[[orthogonal]],[[upper-quasi triangular]]}.

 

If matrix is complex, then the result is

 

{[[unitary]],[[upper-triangular]]}.

 

SCHUR(matrix)

SIZE

Dimensions of matrix. Returned as a list: {rows,columns}.

 

SIZE(matrix)

SPECNORM

Spectral Norm of matrix.

 

SPECNORM(matrix)

SPECRAD

Spectral Radius of a square matrix.

 

SPECRAD(matrix)

SVD

Singular Value Decomposition. Factors an m × n matrix into

 

two matrices and a vector:

 

{[[m × m square orthogonal]],[[n × n square orthogonal]],

 

[real]}.

 

SVD(matrix)

SVL

Singular Values. Returns a vector containing the singular

 

values of matrix.

 

SVL(matrix)

12-12

Matrices