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matrix or pencil balancing
a real square matrix
a real square invertible matrix
a real square matrix (same dimension as
a real square invertible matrix.
Balance a square matrix to improve its condition number.
[Ab,X] = balanc(A) finds a similarity transformation
X such that
Ab = inv(X)*A*X has approximately equal row and column norms.
For matrix pencils,balancing is done for improving the generalized eigenvalue problem.
[Eb,Ab,X,Y] = balanc(E,A) returns left and right transformations
Balancing is made in the functions