Palindromic linearization and numerical solution of nonsymmetric algebraic \(T\)-Riccati equations

DOI10.1007/s10543-022-00926-yOpenAlexW3204896837MaRDI QIDQ2100553

Beatrice Meini, Peter Benner, Bruno Iannazzo, Davide Palitta

Publication date: 22 November 2022

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.03254

zbMATH Keywords

algebraic Riccati equationinvariant subspacesmatrix equationstructured doubling algorithm\(T\)-Riccatipalindromic matrix pencilpalindromic QZ algorithm

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Iterative numerical methods for linear systems (65F10) Matrix pencils (15A22) Numerical methods for matrix equations (65F45)

Related Items (3)

Fast enclosure for the minimal nonnegative solution to the nonsymmetric T-Riccati equation ⋮ On the consistency of the matrix equation \(X^\top AX = B\) when \(B\) is symmetric: the case where \(\mathrm{CFC}(A)\) includes skew-symmetric blocks ⋮ The equation X^⊤AX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?

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