Sylvester matrix
Recently a Sylvester matrix for several polynomials has been defined, establishing the relative primeness and the greatest common divisor of polynomials. ,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 ... ,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 coefficients of the polynomials. , This Demonstration shows the Sylvester matrix of two polynomials and of positive degrees and The entries of the first row are the coefficients of ...,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 ... ,are perpendicular. Sylvester's theorem says that any function f of the matrix A may be written. -begindisplaymath} f(-bf A}) ... ,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. , 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 ...,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 ...
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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 |