On \(P\)-matrices
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Publication:1870055
DOI10.1016/S0024-3795(01)00590-0zbMath1044.15013MaRDI QIDQ1870055
Publication date: 4 May 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
algorithmnumerical examplesinterval matrix\(P\)-matrixexponential method\(P\)-problemSign-real spectral radius
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Related Items (6)
Properties of the Solution Set of Absolute Value Equations and the Related Matrix Classes ⋮ On Relation Between P-Matrices and Regularity of Interval Matrices ⋮ Generalized Perron Roots and Solvability of the Absolute Value Equation ⋮ On Rump's characterization of \(P\)-matrices ⋮ Regularity radius: Properties, approximation and a not a priori exponential algorithm ⋮ Integrity of systems under decentralized integral control
Uses Software
Cites Work
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- Piecewise affine bijections of \(\mathbb R^n\), and the equation \(Sx^ +- Tx^ -=y\)
- The P-matrix problem is co-NP-complete
- Theorems of Perron-Frobenius type for matrices without sign restrictions
- A recursive test for P-matrices
- Checking robust nonsingularity is NP-hard
- Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
- Weak stability for matrices
- The largest singular value of e/sup X/A/sub 0/e/sup -X/ is convex on convex sets of commuting matrices
- Computing the Structured Singular Value
- An Algorithm for Checking Regularity of Interval Matrices
- Convex sets of nonsingular and P:–Matrices
- A Partition Theorem for Euclidean n-Space
- Positively regular vague matrices
- Calculation of exact bounds for the solution set of linear interval systems
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