Two analytical general solutions of equation EVJ2 + AVJ + CV = BW

Guang Ren Duan; Guo Sheng Wang

Two analytical general solutions of equation EVJ² + AVJ + CV = BW

Guang Ren Duan^*
, Guo Sheng Wang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Academy of Armored Force Engineering China

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

Two kinds of analytical general solutions of the equation EVJ² + AVJ + CV = BW are established. By using a sequence of elementary matrix transformations, the first solution is obtained in an iterative form. By utilizing some right coprime fractions, the second solution is given in an explicit form with respect to the free parameter vectors and the eigenvalues of the matrix J. The obtained results are simple, convenient to be used and have wide applications.

Original language	English
Pages (from-to)	1-4
Number of pages	4
Journal	Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology
Volume	37
Issue number	1
State	Published - Jan 2005

Keywords

Analytical general solutions
Eigenvalues
Freedom
Jordan form
Matrix equations

Cite this

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title = "Two analytical general solutions of equation EVJ2 + AVJ + CV = BW",

abstract = "Two kinds of analytical general solutions of the equation EVJ2 + AVJ + CV = BW are established. By using a sequence of elementary matrix transformations, the first solution is obtained in an iterative form. By utilizing some right coprime fractions, the second solution is given in an explicit form with respect to the free parameter vectors and the eigenvalues of the matrix J. The obtained results are simple, convenient to be used and have wide applications.",

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author = "Duan, \{Guang Ren\} and Wang, \{Guo Sheng\}",

year = "2005",

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T1 - Two analytical general solutions of equation EVJ2 + AVJ + CV = BW

AU - Duan, Guang Ren

AU - Wang, Guo Sheng

PY - 2005/1

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N2 - Two kinds of analytical general solutions of the equation EVJ2 + AVJ + CV = BW are established. By using a sequence of elementary matrix transformations, the first solution is obtained in an iterative form. By utilizing some right coprime fractions, the second solution is given in an explicit form with respect to the free parameter vectors and the eigenvalues of the matrix J. The obtained results are simple, convenient to be used and have wide applications.

AB - Two kinds of analytical general solutions of the equation EVJ2 + AVJ + CV = BW are established. By using a sequence of elementary matrix transformations, the first solution is obtained in an iterative form. By utilizing some right coprime fractions, the second solution is given in an explicit form with respect to the free parameter vectors and the eigenvalues of the matrix J. The obtained results are simple, convenient to be used and have wide applications.

KW - Analytical general solutions

KW - Eigenvalues

KW - Freedom

KW - Jordan form

KW - Matrix equations

UR - https://www.scopus.com/pages/publications/14844295488

M3 - 文章

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SN - 0367-6234

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SP - 1

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JO - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

JF - Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology

IS - 1

ER -

Two analytical general solutions of equation EVJ² + AVJ + CV = BW

Abstract

Keywords

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