balance

Diagonal scaling to improve eigenvalue accuracy.

📝Syntax

B = balance(A)
B = balance(A,'noperm')
[T, B] = balance(A)
[S, P, B] = balance(A)

📥Input Arguments

Parameter	Description
A	a matrix: square, finite single or double.

📤Output Arguments

Parameter	Description
B	balanced matrix.
T	similarity transformation: Rearrange the elements of a diagonal matrix containing integer powers of two in order to minimize the impact of roundoff errors.
S	scaling vector
P	permutation vector

📄Description

B = balance(A) returns the balanced matrix B.

B = balance(A, 'noperm') scales A without permuting its rows and columns.

💡Examples

A = [10  1000  100000; .1  10  1000; .001  .1  10]
F = balance(A)

🔗See Also

Used Functions

LAPACKE_dgebal, LAPACKE_sgebal, LAPACKE_zgebal, LAPACKE_cgebal

🕔Version History

Version	Description
1.0.0	initial version