Inequality of Matrix Rank and Its Application in Advanced Algebra Solving

2021 ◽  
Vol 11 (08) ◽  
pp. 1601-1608
Author(s):  
旗 贺
Keyword(s):  
Matrix Rank

Nonlinear sparse feature selection algorithm via low matrix rank constraint

2018 ◽  
Vol 78 (23) ◽  
pp. 33319-33337
Author(s):  
Leyuan Zhang ◽  
Yangding Li ◽  
Jilian Zhang ◽  
Pengqing Li ◽  
Jiaye Li
Keyword(s):  
Feature Selection ◽  
Selection Algorithm ◽  
Feature Selection Algorithm ◽  
Matrix Rank ◽  
Rank Constraint ◽  
Sparse Feature Selection

scholarly journals Calculating the Energy Spectrum of Complex Low-Dimensional Heterostructures in the Electric Field

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Svetlana N. Khonina ◽  
Sergey G. Volotovsky ◽  
Sergey I. Kharitonov ◽  
Nikolay L. Kazanskiy
Keyword(s):  
Steady State ◽  
Electric Field ◽  
Ground State ◽  
State Energy ◽  
Airy Functions ◽  
Piecewise Constant ◽  
Matrix Rank ◽  
The Matrix ◽  
Constant Potential ◽  
Low Dimensional

An algorithm for solving the steady-state Schrödinger equation for a complex piecewise-constant potential in the presence of theE-field is developed and implemented. The algorithm is based on the consecutive matching of solutions given by the Airy functions at the band boundaries with the matrix rank increasing by no more than two orders, which enables the characteristic solution to be obtained in the convenient form for search of the roots. The algorithm developed allows valid solutions to be obtained for the electric field magnitudes larger than the ground-state energy level, that is, when the perturbation method is not suitable.

On matrix rank analysis of spectra of multicomponent mixtures

1974 ◽  
Vol 30 (8) ◽  
pp. 972-973 ◽  
Author(s):  
W. H. Bannister ◽  
J. V. Bannister
Keyword(s):  
Multicomponent Mixtures ◽  
Matrix Rank ◽  
Rank Analysis

scholarly journals Hankel Matrix Rank as Indicator of Ghost in Bearing-Only Tracking

2018 ◽  
Vol 54 (6) ◽  
pp. 2713-2723 ◽  
Author(s):  
Korkut Bekiroglu ◽  
Mustafa Ayazoglu ◽  
Constantino Lagoa ◽  
Mario Sznaier
Keyword(s):  
Hankel Matrix ◽  
Matrix Rank
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