If it is band-diagonal it can be transformed into a block-diagonal form e . g . by means of a generalised Canonical Correlation Analysis ( "'gCCA "').
12.
Most commonly, the eigenvalue sequences are expressed as sequences of similar matrices which converge to a triangular or diagonal form, allowing the eigenvalues to be read easily.
13.
His hard-edged abtract paintings from 1970, with their crisp diagonal forms, matte surfaces and metallic colors, have terrific formal panache and are attractively paired with more recent work.
14.
Corner transfer matrices ( or their diagonal forms ) may be used to calculate quantities such as the spin expectation value at a particular site deep inside the lattice.
15.
Because operations like matrix multiplication, matrix inversion, and determinant calculation are simple on diagonal matrices, computations involving matrices are much simpler if we can bring the matrix to a diagonal form.
16.
If we find a transformation U _ { a'a } that puts the effective hamiltonian in flavor basis ( " h " eff ) " ab " in the diagonal form
17.
Note that the 2 " N " rank and file constraints form the primary constraints, while the 4 " N " " 2 diagonal and reverse diagonals form the secondary constraints.
18.
Therefore, up to degeneracies among the, the of the diagonal form of the Lindblad equation are uniquely determined by the dynamics so long as we require them to be orthonormal and traceless.
19.
The following formula shows that it is " always " possible to write the density matrix in this diagonal form without appealing to operator orderings using the inversion ( given here for a single mode ):
20.
On the other hand, this makes the Frobenius normal form rather different from other normal forms that do depend on factoring the characteristic polynomial, notably the diagonal form ( if " A " is diagonalizable ) or more generally the Jordan normal form ( if the characteristic polynomial splits into linear factors ).
