a你是个网络骗子 You are the network swindler[translate] acalnot calnot[translate] a收入差距太大 The income differential too is big[translate] a他们不可能不说一句话就离开 They not impossible not to say a speech leaves[translate] aComplex conjugate-transpose 复合体共轭移置[translate] ...
The conjugate transpose of a matrix is found using the following two steps. First, we “conjugate” the complex numbers. The conjugate of a complex number is found by switching the sign of the imaginary part. The complex conjugate of 1 is just 1, while the complex conjugate of + i is...
. The main change is how complex eigenvalues are represented. Since the eigenvalues now occur in complex conjugate pairs and , and each of the pair has the same Jordan structure (which follows from the fact that a matrix and its complex conjugate have the same rank), pairs of Jordan blocks...
Well, the prime application of the Jordan canonical form is to calculate solutions of linear systems of ODEs. The equation with matrix and initial value (both could also be complex). This system has a unique solution which can be given explicitly with the help of the matrix exponential as ...
iparm[11] = 0; // Conjugate transposed/transpose solve == non-transposed iparm[12] = 0; // Maximum weighted matching algorithm is switched-off (default for symmetric indefinite) iparm[13] = 0; // Output: Number of perturbed pivots iparm[14] = 0; // Not in use iparm[15] = 0...
of A, except that complex numbers are replaced with their complex conjugates.
n_zz = 2). The matrix transform U is as shown above. This matrix in Cartesian coordinates is n_{Cart} = U^{-1} n_{diag} U. (For my matrix, the inverse performs the same operation that the complex conjugate transpose does.) When I plot each of these elements (as a functi...
(set theory) (Of a function from the ordinals to the ordinals) which is strictly monotonically increasing and continuous with respect to the order topology. (linear algebra) (Of a matrix) which commutes with its conjugate transpose.