ApCoCoA-1:Num.SimDiag
From ApCoCoAWiki
Num.SimDiag
Computes an approximate diagonalization of a set of matrices.
Syntax
Num.SimDiag(A:LSIT):[B:MAT, C:MAT]
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
This function returns a list of two matrices, containing the approximate (almost) eigenvectors of the matrices in A and its inverse.
@param A A list of quadratic matrices with rational entries.
@return The output is a list of two matrices [B:MAT, C:MAT]. The first matrix B contains the real almost eigenvectors of the matrices in A. The matrix C is the inverse of A.
Example
M1 := Mat([[0, 0, -0.079, -0.018],[0, 0, 0.032, -0.012], [1, 0, 1.056, -0.012],[0, 1, -0.060, 1.025]]); M2 := Mat([[0, -0.063, 0, -0.018],[1, 1.026, 0, -0.012], [0, 0, 0, -0.012], [0, 0, 1, 1.025]]); M1 := Transposed(M1); M2 := Transposed(M2); Result := Num.SimDiag([M1],10); Dec(Result[2]*M1*Result[1],3); Dec(Result[2]*M2*Result[1],3);
See also
