内容提示: arXiv:1811.05854v2 [math.NA] 16 Nov 2018When is a matrix unitary or Hermitian plus low rank? ∗Gianna M. Del Corso, Federico Poloni, Leonardo Robol, andRaf Vandebril †November 28, 2018AbstractHermitian and unitary matrices are two representatives of the class of normal matrices...
Often, however, it is not known beforehand whether or not a matrix can be written as the sum of an Hermitian or unitary matrix plus a low rank perturbation. We propose necessary and sufficient conditions characterizing the class of Hermitian or unitary plus low rank matrices. The number of ...
Electronic Journal of Linear AlgebraWhen is the Hermitian/skew-Hermitian part of a matrix a potent matrix - Iliˇsević, Thome... Ilišević,Dijana; Thome,Nestor - 《Electronic Journal of Linear Algebra》 被引量: 6发表: 2012年 Calculating the appropriate information matrix for log-linear...
If all the eigenvalues of A are nonnegative, we use λj(A) to denote the jth largest eigenvalue of A. We use diag (d1,d2,…,dn) to denote a diagonal matrix with main diagonal entries d1,d2,…,dn. Let A,B be two Hermitian matrices. Then A≥B means A−B is positive ...
Summary With a complex float 24x24 matrix the complexeigensolver() returns bad results for the first 16 eigen values. ...
Analysis of a General Theorem Concerning Two Non-Commuting Hermitian Matrices: Quantum Mechanical Implications for Ground and Excited States A general theorem concerning the spectral relationship of two non-commuting Hermitian matrices is demonstrated. Discussion and analysis of such finding lea... R Carb...
One can also define correlation for complex (Hermitian) inner product spaces by taking the real part of the complex inner product to recover a real inner product. While reading the (highly recommended) recent popular maths book “How not to be wrong“, by my friend and co-author Jordan El...
As an integral ker-nel the 1RDM is a bounded linear Hermitian operatorwith an inf i nite but countable eigenvalue spectrum andthe set of all NOs form a basis in the set of quadrati-cally integrable functions. If the state |Ψi is fermionicit is not dif f i cult to prove that 0 ...
I'm trying to test the cluster pardiso to solver complex linear equations with Hermitian matrix. When I ran the parallel program using -np 2 option, everything looks fine. However, when I used more MPIs like -np 4, it reported errors and gave wrong results. Please s...
Hello, would it be possible to detail a bit the situation when this problem arises? Especially what are the sizes of the ELPA MPI communicators, and how large is the matrix size? I do have the suspicion that the matrix is too small for the number of MPI tasks, and ELPA ends up with...