The interval Sylvester equation

DOI10.1007/BF02246505zbMath0807.65046MaRDI QIDQ1332341

V. Pereyra

Publication date: 28 February 1995

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

iterative algorithmnumerical examplesinterval matricesdirect methodsinterval hullinterval Sylvester equationPrager-Oettli-type inequality

Mathematics Subject Classification ID

Related Items (15)

Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\) ⋮ Generalized solution sets of the interval generalized Sylvester matrix equation \(\sum_{i=1}^p\mathbf A_iX_i+\sum_{j=1}^qY_j\mathbf B_j=\mathbf C\) and some approaches for inner and outer estimations ⋮ Fast enclosure for solutions of Sylvester equations ⋮ The interval Lyapunov matrix equation: analytical results and an efficient numerical technique for outer estimation of the united solution set ⋮ Fast enclosure for solutions of generalized Sylvester equations ⋮ Efficient approaches for enclosing the united solution set of the interval generalized Sylvester matrix equations ⋮ Unnamed Item ⋮ Sufficient conditions for the solvability of a Sylvester-like absolute value matrix equation ⋮ Verified error bounds for solutions of Sylvester matrix equations ⋮ The united stable solution set of interval continuous-time algebraic Riccati equation and veri ed numerical computation of its outer estimation ⋮ New sufficient conditions for the unique solution of a square Sylvester-like absolute value equation ⋮ A new vertex result for robustness problems with interval matrix uncertainty ⋮ Unnamed Item ⋮ Sufficient conditions for the unique solution of a new class of Sylvester-like absolute value equations ⋮ Enclosing the solution set of the parametric generalised Sylvester matrix equation A(p)XB(p) + C(p)XD(p) = F(p)

Uses Software

• IMSL Numerical Libraries

Cites Work

• Systems of linear interval equations
• Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
• A Hessenberg-Schur method for the problem AX + XB= C
• The Interval Eigenvalue Problem
• Newton's Method for the Matrix Square Root
• Unnamed Item
• Unnamed Item

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