MATLAB COMPILER RELEASE NOTES Uživatelská příručka stáhnout pdf (Strana 126)

100

101

R2014a

3-14

Mathematics

isdiag, isbanded, issymmetric, ishermitian, istril,

istriu, and bandwidth functions for testing matrix structure

The following functions test various aspects of matrix structure and are useful in

simplifying numerical algorithms.

• ishermitian determines if a matrix is Hermitian or skew-Hermitian.

• issymmetric determines if a matrix is symmetric or skew-symmetric.

• istriu determines if a matrix is upper-triangular.

• istril determines if a matrix is lower-triangular.

• isdiag determines if a matrix is diagonal.

• bandwidth returns the upper and lower bandwidth of a matrix.

• isbanded determines if a matrix is within the specified upper and lower bandwidths.

sylvester function for solving the Sylvester equation

The sylvester function solves the Sylvester equation, AX + XB = C, for X.

Option for eig function for computing left eigenvectors

The eig function can now calculate the left eigenvectors of a matrix A explicitly.

For example:

A = magic(3);

[V,D,W] = eig(A)

V =

-0.5774 -0.8131 -0.3416

-0.5774 0.4714 -0.4714

-0.5774 0.3416 0.8131

D =

15.0000 0 0

1 2 ... 121 122 123 124 125 126 127 128 129 130 131 ... 715 716

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