Sentence examples for has distinct eigenvalues from inspiring English sources

Suppose has distinct eigenvalues with repeating times, and has distinct eigenvalues with repeating times.

This means that if α is not an integer or if α is a positive integer, then the operator L has distinct eigenvalues.

For invertible size two matrices, a fixed point exists for all choices of if and only if has distinct eigenvalues, but this fails for larger sizes.

This is only possible for Eq. (11) when J s(k) has distinct eigenvalues and eigenvectors (i.e. J s(k) is not defective) which prevents Eq. (11) from cancelling itself to an identity matrix.

When A and B have distinct eigenvalues, V and U can only multiply the columns of U A and U B, respectively, by complex scalars of unit magnitude.

Furthermore, if B = diag(b1, n …, b n ) and both matrices have distinct eigenvalues, then tr ( A B ) = ∑ i = 1 n a i b i if and only if A = diag(a1, n …, a n ).

The Jacobian A u) of the flux F u) has distinct real eigenvalues.

It is known (see [1]) that the eigenvalue problem (1.2). possess distinct eigenvalues, where, that is, the integer part of.

Everyone has distinct circumstances.

She has distinct promise".

Every business has distinct characteristics.