Approximate Analytic Quadratic-Optimization Solution for TDOA-Based Passive Multi-Satellite Localization With Earth Constraint

A Semidefinite Optimization Approach to Quadratic Fractional Optimization with a Strictly Convex Quadratic Constraint

In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefini...

approximate analytical solution for quadratic riccati differential equation

in this paper, we introduce an efficient method for solving the quadratic riccati differential equation. in this technique, combination of laplace transform and new homotopy perturbation methods (ltnhpm) are considered as an algorithm to the exact solution of the nonlinear riccati equation. unlike the previous approach for this problem, so-called nhpm, the present method, does not need the init...

Hybrid Tdoa/aoa Geolocation Using Optimization Solution

Recently, mobile location estimate problem is a significant issue in many industrial fields such as radar, wireless communication, target tracking, and various types of location based services. Time difference of arrival (TDOA) and angle of arrival (AOA) are typical geolocation techniques for estimation of mobile location. In this paper, we suggest a hybrid TDOA/AOA geolocation equation as a si...

Analytic Approximate Solution for Falkner-Skan Equation

This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. The obtained re...

Solution Methods for Quadratic Optimization