Sentence examples for using the complete diagonalization from inspiring English sources

The fitting and experimental values are close to each other, powerfully demonstrating the nature of this broad emission and the feasibility of using the complete diagonalization method to study the phosphors for white LEDs.

For the first time, the broad emission spectra for VO4 groups with the approximate C3v symmetry were calculated using a complete diagonalization (of energy matrix) method.

Rapid 3D NMR spectroscopy of oligosaccharides having isotopically labeled acetyl "isotags" was made possible with high resolution in the indirect dimensions using the filter diagonalization method (FDM).

Using the joint diagonalization technique [23], the two symmetric matrices R x and R v can be jointly diagonalized as follows: B T R x B = Λ, (5) B T R v B = I L, (6).

Lee et al. calculated the magnetic-field dependence of low-lying spectra of a single-electron magnetic quantum ring and dot, formed by inhomogeneous magnetic fields using the numerical diagonalization scheme [7].

The second algorithm transforms the DVR Hamiltonian using the sequential diagonalization and truncation (SDT) approach of Light and co-workers to a reduced order SDT Hamiltonian prior to applying the IRLM.

The method extends Jie Shen's algorithm for 2D problems by using the diagonalization of the three mass matrices in the three spatial directions and fully exploits the direct product nature of the spectral approximation.

First, nonorthogonal states in a desired energy range are generated using the filter-diagonalization method.

The power set of a set S, ℘S contains all the subsets of S. Georg Cantor (1845 1918) used the method of diagonalization to show that for any set S, ℘S is larger than S. Therefore, the assumption that a set is the same size as its power set leads to a paradox, and so this assumption must be false.

Agarwal et al. [22] established existence results of solutions for a class of boundary value problems involving the Riemann-Liouville fractional derivative on the half line by using the nonlinear alternative of Leray-Schauder type combined with the diagonalization process.

Optimization of structural parameters yields a single mode cavity with quality factor of Q= 2.5×104, by using the three-dimensional finite-difference time-domain (FDTD) simulation and filter diagonalization approach.