Continued – HP 38g Graphing Calculator User Manual

Page 142

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Matrix Functions,

continued

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 (mato)

SIZE

Dimensions of

matrix.

Returned as a list: {rows,columns}.

SIZE [matrix)

SPECNORM

Spectral Norm of the specified array.

SPECNORM

(mato)

SPECRAD

Spectral Radius of a square

matrix.

SPECRAD

(marnx)

SVD

Singular Value Decomposition. Factors an

mXn matrix

into two

matrices and a vector:

{[

[mxm square orthogonal]

]

,

[ [nxn

square orthogonal]

]

,

[real]

}.

SVD [matrix)

SVL

Singular Values. Returns a vector containing the singular values

of

matrix.

SVL [matrix)

TRACE

Finds the trace of a square

matrix.

The trace is equal to the sum

of the diagonal elements. (It is also equal to the sum of the

eigenvalues.)

TRACE [matrix)

TRN

Transposes

matrix.

For a complex matrix, TRN finds the

conjugate transpose.

TRN [matrix)

6-12 Using Matrices

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