Sylvester matrix

In mathematics, in the field of control theory, a Sylvester equation is a matrix equation of the form: A X + X B = C . -...

Sylvester matrix

In mathematics, in the field of control theory, a Sylvester equation is a matrix equation of the form: A X + X B = C . -displaystyle AX+XB=C.} AX+XB=C. ,LinearAlgebra SylvesterMatrix construct the Sylvester Matrix of two polynomials Calling Sequence Parameters Description Examples Calling Sequence ...

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Sylvester matrix 相關參考資料
Applications of the generalized Sylvester matrix - ScienceDirect

Recently a Sylvester matrix for several polynomials has been defined, establishing the relative primeness and the greatest common divisor of polynomials.

https://www.sciencedirect.com

Sylvester equation - Wikipedia

In mathematics, in the field of control theory, a Sylvester equation is a matrix equation of the form: A X + X B = C . -displaystyle AX+XB=C.} AX+XB=C.

https://en.wikipedia.org

Sylvester Matrix - Maplesoft

LinearAlgebra SylvesterMatrix construct the Sylvester Matrix of two polynomials Calling Sequence Parameters Description Examples Calling Sequence ...

https://www.maplesoft.com

Sylvester matrix - Wikipedia

In mathematics, a Sylvester matrix is a matrix associated to two univariate polynomials with coefficients in a field or a commutative ring. The entries of the Sylvester matrix of two polynomials are c...

https://en.wikipedia.org

Sylvester Matrix - Wolfram Demonstrations Project

This Demonstration shows the Sylvester matrix of two polynomials and of positive degrees and The entries of the first row are the coefficients of ...

http://demonstrations.wolfram.

Sylvester Matrix -- from Wolfram MathWorld

Sylvester Matrix. DOWNLOAD Mathematica Notebook. For two polynomials P_1(x)=a_mx^m+...+a_0 and P_2=b_nx^n+...+b_0 of degrees m and n , respectively ...

https://mathworld.wolfram.com

SYLVESTER'S MATRIX THEOREM

are perpendicular. Sylvester's theorem says that any function f of the matrix A may be written. -begindisplaymath} f(-bf A}) ...

http://sepwww.stanford.edu

The polynomial solution to the Sylvester matrix equation ...

For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as a polynomial of known matrices.

https://www.sciencedirect.com

The Sylvester Resultant

The determinant of the Sylvester matrix will play an important role in the sequel and hence deserves a name. The resultant res(f,g) of f and g is ...

http://www.pdmi.ras.ru

西爾維斯特方程- 维基百科,自由的百科全书

Sylvester, J. Sur l'equations en matrices px = xq. C. R. Acad. Sci. Paris. 1884, 99 (2): 67–71, 115–116. Bartels, R. H.; Stewart, G. W. Solution of the matrix ...

https://zh.wikipedia.org