imaginary axis


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Related to imaginary axis: complex number

imaginary axis

[ə′maj·ə‚ner·ē ′ak·səs]
(mathematics)
All complex numbers x + iy where x = 0; the vertical coordinate axis for the complex plane.
References in periodicals archive ?
In [18], the SR algorithm is discussed only for the case that the Hamiltonian matrix is stable, that is, it has no eigenvalues on the imaginary axis.
Therefore, in this paper, we will develop an implementation of the SR algorithm which can deal with eigenvalues on the imaginary axis.
0] is determined by the symmetry with respect to the imaginary axis.
0] with respect to the imaginary axis, it then follows that continuity also holds in a neighborhood of [[GAMMA].
1,2] is the image of -12 under reflection on the imaginary axis.
where the contour runs parallel to the imaginary axis through the abscissa c.
The tops of the curves are on the valid axis which is perpendicular to the imaginary axis, while their curvature decreases with the growth of molecular mass.
If now around an imaginary axis we make the third and the first quadrants overlap, it is possible to see that there is nearly full concurrence among the curves and valid axes (Fig.
Obviously, the Hamiltonian Krylov-Schur-type method locates all eigenvalues on the imaginary axis as expected from theory while for the eigenvalues computed by eigs, it is rather difficult to decide whether or not these are purely imaginary even though the real parts are relatively small.
But moreover, the new approach yields physically meaningful results as all computed eigenvalues are located on the imaginary axis.