On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set

DOI10.1137/S0895479896297069zbMath0873.15003OpenAlexW1997280976MaRDI QIDQ4339160

Günter Mayer, G. E. Alefeld, Vladik Ya. Kreinovich

Publication date: 5 June 1997

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479896297069

zbMATH Keywords

interval analysissymmetric matricesskew-symmetric matricespersymmetric matricesFourier-Motzkin eliminationOettli-Prager theoremlinear systems with perturbed input datasolution set of linear systems of equations

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Linear equations (linear algebraic aspects) (15A06)

Related Items (12)

On the solution sets of particular classes of linear interval systems ⋮ Aspects for a block version of the interval Cholesky algorithm ⋮ Direct methods for linear systems with inexact input data ⋮ Semidefinite programming for uncertain linear equations in static analysis of structures ⋮ On regular and singular interval systems ⋮ Why it is computationally harder to reconstruct the past than to predict the future ⋮ Enclosures for the solution set of parametric interval linear systems ⋮ Visualizing parametric solution sets ⋮ Interval-affine Gaussian algorthm for constrained systems ⋮ Interval analysis: Theory and applications ⋮ Structured perturbations and symmetric matrices ⋮ On the fixed points of the interval function \([f([x])=[A][x]+[b]\)]

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