Topics Related to the Factorization of Matrices |
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Page 38
... companion matrix of h ( ^ ) . The existence of a left companion matrix was shown by M. H. Ingraham and M. Wolf . 8 The left companion matrix is the 8 . Ingraham , M. H. and Wolf , M. Mathematical Society . 42 : Transactions of the ...
... companion matrix of h ( ^ ) . The existence of a left companion matrix was shown by M. H. Ingraham and M. Wolf . 8 The left companion matrix is the 8 . Ingraham , M. H. and Wolf , M. Mathematical Society . 42 : Transactions of the ...
Page 39
James Henry Bell. transpose of the right companion matrix . right Eh , the companion matrix of Obviously if p ( ^ ) Σ = 3 P , ( ^ ) = 3 hh , will satisfy p ( X ) = 0 III . Families of Right Divisors . Let us consider a matrix with ...
James Henry Bell. transpose of the right companion matrix . right Eh , the companion matrix of Obviously if p ( ^ ) Σ = 3 P , ( ^ ) = 3 hh , will satisfy p ( X ) = 0 III . Families of Right Divisors . Let us consider a matrix with ...
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... matrix equation over D. An application of this theory leads to the production of a companion matrix for the polynomial ( 1 - 0 , 1 , ••• , 1 ) are elements of D. where bị ( 1 Another problem which has an application to the theory of the ...
... matrix equation over D. An application of this theory leads to the production of a companion matrix for the polynomial ( 1 - 0 , 1 , ••• , 1 ) are elements of D. where bị ( 1 Another problem which has an application to the theory of the ...
Common terms and phrases
A₂ Abstract Algebra B₁ B₂ Bete common left multiple commutative companion matrix Consider Corollary 1.8 degree kn degree less direct product divisor of Q elements in F exist a unimodular family of right greatest common divisor h₁(A Hence Hermite form i+p+1 James Henry Bell kn unknowns least common left left associates linear linearly dependent M. H. Ingraham M₂ MacDuffee main diagonal element matrices with elements maximum degree modular modulo necessary and sufficient non-singular obtained occurs parameter parametric family polynomial principal ideal ring problem proper of degree proper right divisors quasi-field relatively prime sufficient condition Theorem 1.4 thesis tk₂ unilateral equation unilateral matrix equation unimodular matrix unique solution uniquely determined University of Wisconsin X₂ zero λι