Nonlinear matrix equations of the Riccati type arising in mathematical modelling and simulation
type: Item
instance of: scholarly article
title: Nonlinear matrix equations of the Riccati type arising in mathematical modelling and simulation
zbMATH Open document ID: 0728.15009
DOI: 10.1016/0895-7177(90)90157-I
author: John jun. Jones
published in: Mathematical and Computer Modelling
publication date: 1990-01-01T00:00:00Z
review text: This article contains some necessary and sufficient conditions for the existence of solutions \(X\in {\mathbb{C}}^{n\times n}\) of the algebraic Riccati equation \(AX+XB+C+XDX=0\) with coefficients belonging to \({\mathbb{C}}^{n\times n}\). All the proofs are rather simple.
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4202488
zbMATH Keywords: nonlinear matrix equations
zbMATH Keywords: existence of solutions
zbMATH Keywords: algebraic Riccati equation
MaRDI profile type: Publication
full work available at URL: 0895-7177(90)90157-i
OpenAlex ID: W2125638223
description: scientific article; zbMATH DE number 4202488