Mu Analysis and Synthesis Toolbox

Calculate determinant, diagonal, matrix exponential and estimate of condition number of a CONSTANT or VARYING matrix

Syntax

• out = vdet(matin) 
  out = vdiag(matin) 
  out = vexpm(matin) 
  out = vrcond(matin)
  

Description
These commands operate on square, CONSTANT and VARYING matrices and they are identical to the MATLAB commands det, diag, exp, and rcond on CONSTANT matrices.

vdet of a square, VARYING matrix, returns matout, which is a VARYING
1 x 1 matrix, containing the value of the determinant of matin at each independent variable value.

vdiag of a square, VARYING matrix, returns matout, which is a VARYING matrix of size min(size(matin)) x 1, containing the diagonal elements of matin at each independent variable.

vexpm of a square, VARYING matrix, returns matout, which is a VARYING matrix of the same size as matin, containing the matrix exponential of matin. The MATLAB command expm, which is called, uses a Pade expansion after scaling matin to calculate the exponential.

vrcond of a square, VARYING matrix, returns matout, which is an estimate of the condition number of a matrix.

Examples
vdet and vrcond work similarly to their MATLAB counterparts, det and rcond, but on square VARYING matrices as shown below.

• see(matin)
  2 rows                       2 columns
  iv = 2.3
      0.04750.3282
      0.73610.6326
  iv = 5.6
      0.75640.3653
      0.99100.2470
  matout = vdet(matin);
  see(matout)
  1 row                        1 column
  iv = 2.3
      -0.2116
  iv = 5.6
      -0.1752
  see(vrcond(matin))
  1 row                        1 column
  iv = 2.3
      0.1907
  iv = 5.6
      0.0848
  

See Also
det, diag, expm, rcond

vabs, vimag, vreal, vfloor, vceil

vebe