Abstract: Several methods of solving the algebraic Riccati equation (ARE) are presented. Functional iterations with acceleration techniques am introduced. Also variations of the Newton method, the ...

Abstract: In this paper the algebraic Riccati equation (ARE) of the discrete-time linear-quadratic (LQ) optimal control problem and its set of positive semidefinite solutions is studied under the most ...

High degree algebraic equations are an unsolved problem in algebra. The author has been able to solve high-order algebraic equations using elementary algebraic methods through exploration. This ...

THE contents of this volume fall into three clearly marked sections. Chapters 1–4 (pp. 1–105) lead up to the location and calculation of the real roots of a real algebraic equation ; the cubic and ...

SUNDIALS is a family of software packages providing robust and efficient time integrators and nonlinear solvers that can easily be incorporated into existing ...

Algebra is part of maths where we use letters to represent unknown values or values that can change. Simplify algebraic terms Algebraic expressions can be simplified by gathering like terms. Like ...