Results concerning interval linear systems with multiple right-hand sides and the interval matrix equation \(AX=B\)
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Publication:631899
DOI10.1016/j.cam.2010.12.015zbMath1221.65087OpenAlexW2094375632MaRDI QIDQ631899
Publication date: 14 March 2011
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2010.12.015
interval matrixinterval hulltolerable solution setlinear matrix equationslinear programming methodcontrollable solution setunited solution setAE-solution setsinterval Gaussian eliminationinterval linear matrix equation
Matrix equations and identities (15A24) Interval and finite arithmetic (65G30) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items (24)
Parametric AE-solution sets to the parametric linear systems with multiple right-hand sides and parametric matrix equation \(A(p)X=B(p)\) ⋮ Enclosing the solution set of parametric interval matrix equation \(A(p)X = B(p)\) ⋮ Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix ⋮ The Hermitian positive definite solution of the nonlinear matrix equation ⋮ 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 ⋮ The interval Lyapunov matrix equation: analytical results and an efficient numerical technique for outer estimation of the united solution set ⋮ Efficient approaches for enclosing the united solution set of the interval generalized Sylvester matrix equations ⋮ An efficient method for special least squares solution of the complex matrix equation \((AXB,CXD)=(E,F)\) ⋮ The relaxed gradient based iterative algorithm for solving matrix equations \(A_iXB_i=F_i\) ⋮ Sufficient conditions for the solvability of a Sylvester-like absolute value matrix equation ⋮ The accelerated gradient based iterative algorithm for solving a class of generalized Sylvester-transpose matrix equation ⋮ Double parameter splitting (DPS) iteration method for solving complex symmetric linear systems ⋮ Periodic conjugate direction algorithm for symmetric periodic solutions of general coupled periodic matrix equations ⋮ The scaling conjugate gradient iterative method for two types of linear matrix equations ⋮ Least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\) with the least norm ⋮ New sufficient conditions for the unique solution of a square Sylvester-like absolute value equation ⋮ The matrix iterative methods for solving a class of generalized coupled Sylvester-conjugate linear matrix equations ⋮ Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition ⋮ The filtering based maximum likelihood recursive least squares estimation for multiple-input single-output systems ⋮ Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equations ⋮ BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrix ⋮ Unnamed Item ⋮ Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate matrix equations ⋮ Enclosing the solution set of the parametric generalised Sylvester matrix equation A(p)XB(p) + C(p)XD(p) = F(p)
Uses Software
Cites Work
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- Inner and outer bounds for the solution set of parametric linear systems
- Derived eigenvalues of symmetric matrices, with applications to distance geometry
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- A new technique in systems analysis under interval uncertainty and ambiguity
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- Visualizing parametric solution sets
- Solution set characterization of linear interval systems with a specific dependence structure
- Quality of the Solution Sets of Parameter-Dependent Interval Linear Systems
- A New Criterion to Guarantee the Feasibility of the Interval Gaussian Algorithm
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