\(qd\) block algorithm

DOI10.1016/j.apnum.2010.05.005zbMath1208.65048OpenAlexW2020059950MaRDI QIDQ608503

André Draux, Mohamed Sadik

Publication date: 25 November 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.05.005

zbMATH Keywords

convergenceeigenvaluesJacobi matrixblock \(LR\) algorithmblock \(qd\) algorithmblock tridiagonal positive definite symmetric matrixmatrix orthogonal polynomialmatrix three term recurrence relation

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Generalized \(qd\) algorithm for block band matrices ⋮ On the calculation of the poles of multivariate meromorphic functions using the symbolic-numeric two-point qd-algorithm

Cites Work

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• Vector orthogonal relations. Vector QD-algorithm
• Generalized qd algorithm and Markov-Bernstein inequalities for Jacobi weight
• Rectangular matrix Padé approximants and square matrix orthogonal polynomials
• Improvement of the formal and numerical estimation of the constant in some Markov-Bernstein inequalities
• A note on the matrix valued q-d algorithm and matrix orthogonal polynomials on \([0,1\) and \([0,\infty)\)]
• Orthogonal matrix polynomials and higher-order recurrence relations
• Orthogonal matrix polynomials: zeros and Blumenthal's theorem
• Continued fractions whose coefficients obey a non-commutative law of multiplication
• The calculation of Lame polynomials