L. S. Chkhartishvili, “Iterative solution of the secular equation”, Mat. Zametki, 77:2 (2005), 303–310; Math. Notes, 77:2 (2005), 273

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Matematicheskie Zametki, 2005, Volume 77, Issue 2, Pages 303–310
DOI: https://doi.org/10.4213/mzm2482 (Mi mzm2482)

This article is cited in 7 scientific papers (total in 7 papers)

Iterative solution of the secular equation

L. S. Chkhartishvili

Georgian Technical University

Full-text PDF (173 kB) Citations (7)

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DOI: https://doi.org/10.4213/mzm2482

Abstract: The secular equation with real symmetric positive definite

$n\times n$ matrix is transformed into a system of

$n^2$ quadratic equations for which it is possible to construct a convergent procedure realizing an iterative solution. An example of the numerical realization of the method for solving the problem of determining the electronic energy spectrum is given.

Received: 09.06.2003

English version:
Mathematical Notes, 2005, Volume 77, Issue 2, Pages 273–279
DOI: https://doi.org/10.1007/s11006-005-0026-y

Bibliographic databases:

UDC: 518.5+518.12+539.2

Language: Russian

Citation: L. S. Chkhartishvili, “Iterative solution of the secular equation”, Mat. Zametki, 77:2 (2005), 303–310; Math. Notes, 77:2 (2005), 273–279

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm2482

https://doi.org/10.4213/mzm2482

https://www.mathnet.ru/eng/mzm/v77/i2/p303

This publication is cited in the following 7 articles:

Chkhartishvili L., “How to Calculate Condensed Matter Electronic Structure Based on Multi-Electron Atom Semi-Classical Model”, Condens. Matter, 6:4 (2021), 46
Levan Chkhartishvili, “On Semi-Classical Approach to Materials Electronic Structure”, J. Mater. Sci. Technol. Res., 8 (2021), 41
Chkhartishvili L., Murusidze I., Becker R., “Electronic Structure of Boron Flat Holeless Sheet”, Condens. Matter, 4:1 (2019), 28
L. S. Chkhartishvili, “Solution of an Algebraic Equation Using an Irrational Iteration Function”, Math. Notes, 92:5 (2012), 714–719
Levan Chkhartishvili, Tamar Berberashvili, “Geometrical Model Based Refinements in Nanotube Chiral Indices”, WJNSE, 01:02 (2011), 45
Chkhartishvili L., “Boron Nitride Nanosystems of Regular Geometry”, 16th International Symposium on Boron, Borides and Related Materials (Isbb 2008), Journal of Physics Conference Series, 176, ed. Tanaka T., IOP Publishing Ltd, 2009, 012014
Chkhartishvili L. S., “Analytical optimization of the lattice parameter using the binding energy calculated in the quasi-classical approximation”, Physics of the Solid State, 48:5 (2006), 846–853

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	603
Full-text PDF :	274
References:	58
First page:	1

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