The palindromic cyclic reduction and related algorithms

DOI10.1007/s10092-014-0106-zzbMath1316.65048OpenAlexW2084088478MaRDI QIDQ2017972

Bruno Iannazzo, Beatrice Meini

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11568/643263

zbMATH Keywords

algorithmconvergencematrix square rootpolar decompositioncyclic reductiontrapezoidal rulematrix geometric meanmatrix signtridiagonal block Toeplitz matrixGauss-Chebyshev quadratureLaurent matrix polynomial

Mathematics Subject Classification ID

Related Items (3)

Computing primary solutions of equations involving primary matrix functions ⋮ An algorithm for computing geometric mean of two Hermitian positive definite matrices via matrix sign ⋮ The geometric mean of two matrices from a computational viewpoint

Uses Software

• mftoolbox

Cites Work

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• Palindromic matrix polynomials, matrix functions and integral representations
• The cyclic reduction algorithm: From Poisson equation to stochastic processes and beyond. In memoriam of Gene H. Golub
• Solving the algebraic Riccati equation with the matrix sign function
• Means of positive linear operators
• Computations with infinite Toeplitz matrices and polynomials
• Positive definite matrices
• A note on computing the matrix square root
• A Family of Rational Iterations and Its Application to the Computation of the Matrix pth Root
• Effective Methods for Solving Banded Toeplitz Systems
• On the Solution of a Nonlinear Matrix Equation Arising in Queueing Problems
• Functions of Matrices
• Numerical Methods for Structured Markov Chains
• The geometric mean of two matrices from a computational viewpoint

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