For example, suppose the state space is the-dimensional complex Hilbert space and is a Hermitian matrix with eigenvalues, with corresponding eigenvectors.
12.
In linear algebra, a complex inner product space is a Hermitian matrix with complex-valued entries, which is equal to its conjugate transpose.
13.
The easiest way to prove it is probably to consider as a Hermitian matrix and use the fact that all eigenvalues of a Hermitian matrix are real.
14.
The easiest way to prove it is probably to consider as a Hermitian matrix and use the fact that all eigenvalues of a Hermitian matrix are real.
15.
Dyson saw that the statistical distribution found by Montgomery appeared to be the same as the pair correlation distribution for the eigenvalues of a random Hermitian matrix.
16.
Thus the topology of the group is the exponential of a traceless hermitian matrix, and therefore the topology of this is that of-dimensional Euclidean space.
17.
This is the spectral theorem in mathematics, and in a finite state space it is just a statement of the completeness of the eigenvectors of a Hermitian matrix.
18.
Remember that above we pointed out that reducing a Hermitian matrix to tridiagonal form takes \ frac { 4 } { 3 } m ^ { 3 } flops.
19.
*PM : eigenvalues of a Hermitian matrix are real, id = 5879-- WP guess : eigenvalues of a Hermitian matrix are real-- Status:
20.
*PM : eigenvalues of a Hermitian matrix are real, id = 5879-- WP guess : eigenvalues of a Hermitian matrix are real-- Status:
