Sentence examples for has no negative eigenvalues from inspiring English sources

From [2], and keeping in mined that the problem (3.3 - 3.4 3.3 - 3.4egative eigenvalues, it can be seen thas widetilde{H}(x+y) + widetilde{K}(x,y) +ino_{x}^{inegativedeigenvaluesx,t) witetilde{H}(t+y),dt = 0 quad (x leq y < infty ), (3.8) where (widetilde{H}(x) = fracan}{2pi} int_{-infty}^{infty }{ 1-widetilde{S}(eta)} e^{ieta x},deta ).

This proves that A has no zero eigenvalues.

But (H 0)) has no other negative eigenvalue except for (lambda _{1}(c_{i}),ldots,lambda_{2j-1}(c_{i})), we must have (lambda _{0}=0).

If Y BF, k ( F X ( n − 1 ) ) has no non-negative eigenvalue, then the relay does not update its beamforming.

A matrix has two negative eigenvalues if it has a negative trace and positive determinant.

Moreover, it is possible that the Hessian has some negative eigenvalues so a modified form of Newton's method would be required.

A fixed point ((a^, b^)) of the averaged system is exponentially stable if the Jacobian J = begin{pmatrix} frac{partial F_{a}}{partial a} & frac{partial F_{a}}{partial b} frac{partial F_{b}}{partial a}& frac{partial F_{b}}{partial b} end{pmatrix} evaluated at ((a^, b^)) has two negative eigenvalues.

I have no negatives.

It states that if the Friedrichs realization of has at least negative eigenvalues below the essential spectrum (what is equivalent to the existence of a nontrivial solution of the equation having at least zeros in ), then (12).

By assumption, (L) has exactly five negative eigenvalues.

Suppose now that the Jacobi operator (L) has exactly five negative eigenvalues.