Polynomials with respect to a general basis. I: Theory
From MaRDI portal
Publication:1135903
DOI10.1016/0022-247X(79)90282-8zbMath0426.15011OpenAlexW2093721325MaRDI QIDQ1135903
Stephen Barnett, John Maroulas
Publication date: 1979
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(79)90282-8
Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items
Assignment of the characteristic polynomial of a Hessenberg matrix†, Displacement structure approach to Chebyshev-Vandermonde and related matrices, Similarity of block companion and block Toeplitz matrices, Signal flow graph approach to inversion of \((H,m)\)-quasiseparable-Vandermonde matrices and new filter structures, Displacement-structure approach to polynomial Vandermonde and related matrices, Eigenvector computation for almost unitary Hessenberg matrices and inversion of Szegö-Vandermonde matrices via discrete transmission lines, Unnamed Item, A quasiseparable approach to five-diagonal CMV and Fiedler matrices, Reprint of: A quasiseparable approach to five-diagonal CMV and Fiedler matrices, Applications of the generalized Sylvester matrix, Polynomials with respect to a general basis. II: Applications, Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable?, A Fast Schur–Euclid-Type Algorithm for Quasiseparable Polynomials, Displacement structures and fast inversion formulas for confluent polynomial Vandermonde-like matrices, Displacement structures and fast inversion formulas for confluent polynomial Vandermonde-like matrices, Displacement structure approach to q-adic polynomial-Vandermonde and related matrices, Polynomial Bézoutian matrix with respect to a general basis, A note on generalized companion pencils in the monomial basis, Factorization of Hessenberg matrices, Displacement structure approach to \(q\)-adic Chebyshev-Vandermonde-like matrices, Confluent polynomial Vandermonde-like matrices: Displacement structures, inversion formulas and fast algorithm, Fast Inversion of Polynomial-Vandermonde Matrices for Polynomial Systems Related to Order One Quasiseparable Matrices
Cites Work
- Unnamed Item
- Unnamed Item
- A companion matrix analogue for orthogonal polynomials
- An algorithm for computing powers of a Hessenberg matrix and its applications
- Greatest common divisor of generalized polynomials and polynomial matrices
- Computing powers of arbitrary Hessenberg matrices
- THE COLLEAGUE MATRIX, A CHEBYSHEV ANALOGUE OF THE COMPANION MATRIX
- Matrices, polynomials, and linear time-variant systems