Spectral decomposition of a matrix using the generalized sign matrix. Appl. Math. and Comput., 8:237{250, 1981.Denman, E. and Leyva-Ramos, J., Spectral Decomposition of a Matrix Using the Generalized Sign Matrix, Appl. Math. Comp. 8(1981) 237-250...
Randomized Spectral Decomposition of a matrix (reigen).N. Benjamin Erichson
In this chapter we describe the reduction to a block-diagonal form by a similarity transformation S -1 AS . We pay particular attention to the problem of the condition number of the transformation matrix S which is a key quantity in any numerical manipulation....
functions and distributions as boundary values of analytic functionsthe Laplace transformThe main subject of this chapter is the analogue, for a self-adjoint operator in a Hilbert Space, of the problem of diagonalizing a Hermitian matrix and thereby expressing the matrix in terms of its eigenvalues...
Department of ChemistryGalliDepartment of ChemistryGiuliaDepartment of ChemistryPhysical Review B: Condensed Matter & Materials PhysicsPham, T. A.; Nguyen, H.-V.; Rocca, D.; Galli, G. GW calculations using the spectral decomposition of the dielectric matrix: Verification, validation, and comparison...
Decomposition of spectral coherence using nonnegativematrix factorizationis attempted to obtain envelope spectrum. • The decomposition is further enhanced by applyingregularizationwith sparse constraint. • Systematic way of choosing the number of clusters is also suggested. ...
\lambda_2 is the second smallest and it measures the connectivity of a graph (e.g., \lambda_2 = 0 if the graph is disconnected). Now, given a graph, how can we find an upper bound for \lambda_2 without doing eigenvalue decomposition to the Laplacian? Upper bound can be found ...
Firstly,the feasibility of this method was demonstrated through numerical simulation. Secondly,in order to separate the signal subspace and the noise subspace,the phase space reconstruction of the test data was conducted,and the attractor track matrix was also decomposed with singular value decomposition...
We consider the time-independent Hamiltonian simulation using the first order Lie–Trotter–Suzuki product formula under the assumption that the initial state is supported on a low-dimension subspace. By comparing the spectral decomposition of the origin
摘要: In the paper the spectral condition number of rank one perturbation matrix is researched.According to the property of matrix rank one perturbation,maximum minimum value of spectrum condition number is presented by eigenvalue decomposition of the original positive definite matrix....