On the solution of block Hessenberg systems

DOI10.1002/nla.1680020309zbMath0837.65014OpenAlexW1964587807MaRDI QIDQ4850243

G. W. Stewart

Publication date: 21 May 1996

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1903/574

zbMATH Keywords

algorithmsGaussian eliminationqueueing theoryToeplitz systemdivide and conquer methodmatrix multiplication algorithmsblock Hessenberg systems

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Direct numerical methods for linear systems and matrix inversion (65F05) Probabilistic methods, stochastic differential equations (65C99)

Related Items (12)

Nonlinear matrix equations and structured linear algebra ⋮ Computations with infinite Toeplitz matrices and polynomials ⋮ Comparison theorems for splittings of M-matrices in (block) Hessenberg form ⋮ Inverting block Toeplitz matrices in block Hessenberg form by means of displacement operators: Application to queueing problems ⋮ Exploiting the Toeplitz structure in certain queueing problems ⋮ Double-parameter regularization for solving the backward diffusion problem with parallel-in-time algorithm ⋮ Rounding errors in solving block Hessenberg systems ⋮ A fast algorithm for solving banded Toeplitz systems ⋮ Unnamed Item ⋮ Fast solution of unsymmetric banded Toeplitz systems by means of spectral factorizations and Woodbury's formula ⋮ A hybrid triangulation method for banded linear systems ⋮ Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems

Cites Work

• Unnamed Item
• A Set of Principles to Interconnect the Solutions of Physical Systems

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