Fast enclosing the solution set of the parametric Sylvester matrix equations
From MaRDI portal
Publication:5084715
DOI10.1080/03081087.2020.1776673zbMath1492.65131OpenAlexW3034872477MaRDI QIDQ5084715
Publication date: 28 June 2022
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2020.1776673
Matrix equations and identities (15A24) Interval and finite arithmetic (65G30) General methods in interval analysis (65G40) Numerical methods for matrix equations (65F45)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\)
- Maximal inner boxes in parametric \textit{AE}-solution sets with linear shape
- Interval linear systems with symmetric matrices, skew-symmetric matrices and dependencies in the right hand side
- Inner and outer bounds for the solution set of parametric linear systems
- Outer enclosures to the parametric \(AE\) solution set
- Derived eigenvalues of symmetric matrices, with applications to distance geometry
- A note on epsilon-inflation
- Fast and parallel interval arithmetic
- A new method for computing a \(p\)-solution to parametric interval linear systems with affine-linear and nonlinear dependencies
- Efficient approaches for enclosing the united solution set of the interval generalized Sylvester matrix equations
- Parametric interval algebraic systems
- A method for outer interval solution of linear parametric systems
- The interval Lyapunov matrix equation: analytical results and an efficient numerical technique for outer estimation of the united solution set
- Visualizing parametric solution sets
- Improvement of a direct method for outer solution of linear parametric systems
- Improved enclosure for some parametric solution sets with linear shape
- Optimal Preconditioning for the Interval Parametric Gauss–Seidel Method
- Verification methods: Rigorous results using floating-point arithmetic
- Enclosures for the solution set of parametric interval linear systems
- Verified Computation of Square Roots of a Matrix
- Description of Symmetric and Skew–Symmetric Solution Set
- On the Solution of Parametrised Linear Systems
- Quality of the Solution Sets of Parameter-Dependent Interval Linear Systems
- Explicit Description of AE Solution Sets for Parametric Linear Systems
- Enclosing the solution set of the parametric generalised Sylvester matrix equation A(p)XB(p) + C(p)XD(p) = F(p)
- Direct and iterative methods for interval parametric algebraic systems producing parametric solutions
This page was built for publication: Fast enclosing the solution set of the parametric Sylvester matrix equations
