Algorithms for Quadratic Matrix and Vector Equations

DOI10.1007/978-88-7642-384-0zbMath1235.65038OpenAlexW1540802006MaRDI QIDQ3090325

Federico Poloni

Publication date: 29 August 2011

Full work available at URL: https://doi.org/10.1007/978-88-7642-384-0

zbMATH Keywords

monographconvergencealgebraic Riccati equationcontrol theorypositive definite matrixHamiltonian matrixPerron-Frobenius theorynumerical algorithmCauchy-like matrixquadratic matrix equationquadratic vector equationgeometric matrix meanunilateral quadratic matrix equationrank structured equationstructural doubling algorithm

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)

Related Items (4)

PERFORMANCE MEASURES FOR THE TWO-NODE QUEUE WITH FINITE BUFFERS ⋮ Quadratic vector equations ⋮ The united stable solution set of interval continuous-time algebraic Riccati equation and veri ed numerical computation of its outer estimation ⋮ Doubling Algorithm for Nonsymmetric Algebraic Riccati Equations Based on a Generalized Transformation

Uses Software

• Matlab
• PABTEC
• mctoolbox

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