On interval systems \([x] = [A][x] + [b]\) and the powers of interval matrices in complex interval arithmetics
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Publication:877252
DOI10.1007/s11155-006-9032-3zbMath1115.65033OpenAlexW2030423480MaRDI QIDQ877252
Publication date: 19 April 2007
Published in: Reliable Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11155-006-9032-3
Related Items (13)
On the solutions of the quaternion interval systems \([x = [A] [x] + [b]\)] ⋮ Fast enclosure for all eigenvalues in generalized eigenvalue problems ⋮ Fast enclosure for the minimum norm least squares solution of the matrix equation AXB = C ⋮ Verified computation of matrix gamma function ⋮ Fast verified computation for the matrix principal \(p\)th root ⋮ Verified computation for the matrix principal logarithm ⋮ Fast verified computation for real powers of large matrices with Kronecker structure ⋮ A sharp error bound of the approximate solutions for saddle point linear systems ⋮ Fast enclosure for a matrix inverse square root ⋮ Fast verified computation for stabilizing solutions of discrete-time algebraic Riccati equations ⋮ Verified computation for the geometric mean of two matrices ⋮ Unnamed Item ⋮ Verified computation for the matrix Lambert \(W\) function
Cites Work
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- On the semi-convergence of interval matrices
- On the convergence of powers of interval matrices
- On the convergence of powers of interval matrices. II
- On the fixed points of the interval function \([f([x])=[A][x]+[b]\)]
- On the solutions of the interval system \([x = [a][x] + [b]\)]
- Enclosing solutions of singular interval systems iteratively
- Interval Methods for Systems of Equations
- New Criteria for the Semiconvergence of Interval Matrices
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