Optimally Conditioned Vandermonde-Like Matrices
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Publication:5203966
DOI10.1137/19M1237272zbMath1427.65055MaRDI QIDQ5203966
Mykhailo Kuian, Sergij V. Shiyanovskii, Lothar Reichel
Publication date: 9 December 2019
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)
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Cites Work
- Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas
- Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices
- Szegő-Lobatto quadrature rules
- A divide and conquer method for unitary and orthogonal eigenproblems
- The condition of Vandermonde-like matrices involving orthogonal polynomials
- Géza Freud, orthogonal polynomials and Christoffel functions. A case study
- The QR algorithm for unitary Hessenberg matrices
- Lower bounds for the condition number of Vandermonde matrices
- Optimally conditioned Vandermonde matrices
- On inverses of Vandermonde and confluent Vandermonde matrices. III
- On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval
- Gram polynomials and the Kummer function
- How bad are Hankel matrices?
- The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
- Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
- Some results about numerical quadrature on the unit circle
- Fast factorization of rectangular Vandermonde matrices with Chebyshev nodes
- Vandermonde matrices with Chebyshev nodes
- Note on the iterative refinement of least squares solution
- Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- The Tridiagonal Approach to Szegö’s Orthogonal Polynomials, Toeplitz Linear Systems, and Related Interpolation Problems
- An implementation of a divide and conquer algorithm for the unitary eigen problem
- A Stable Divide and Conquer Algorithm for the Unitary Eigenproblem
- Real orthogonal polynomials in frequency analysis
- Conditioning of Rectangular Vandermonde Matrices with Nodes in the Unit Disk
- Asymptotically Optimal Lower Bounds for the Condition Number of a Real Vandermonde Matrix
- An Error Analysis of a Unitary Hessenberg QR Algorithm
- Numerical Analysis
- Rectangular Vandermonde matrices on Chebyshev nodes
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