iterative least-squares solution
Iterative Hessian Sketch: Fast and Accurate Solution Approximation for Constrained Least-Squares
... unconstrained least-squares but also more gener- ally for a broad class of constrained ...original least-squares estimator in the regime m ...the iterative Hessian sketch—and prove that ...
38
Finite Iterative Algorithm for Solving a Class of Complex Matrix Equation with Two Unknowns of General Form
... explicit solution to the Yakubovich matrix equation V − AVF = BW , with F in an arbitrary ...explicit solution for the matrix equation XF − AX = C was established in ...based iterative algorithms for ...
12
Stabilized Least Squares Migration
... the solution to remove the propagation effects in the raw data to come up with a description of the media through which the waves propagate (Yilmaz ...the solution to the wave equation rather than its ...
148
Data filtering-based least squares iterative algorithm for Hammerstein nonlinear systems by using the model decomposition
... three-stage least squares iterative identification algorithm for output error moving average systems using the model decomposition [21]; Bai and Liu presented a normalized iterative method to ...
17
Identification of nonlinear systems with non-persistent excitation using an iterative forward orthogonal least squares regression algorithm
... 3 optimal model on a global solution space. A more general iOFR algorithm is proposed in this paper and it will be shown that the new iOFR algorithm is robust to some non-persistent inputs. It is worth emphasising ...
14
A predictor corrector iterative method for solving linear least squares problems and perturbation error analysis
... iterative methods with a recurrence formula for approximate matrix inversion have been proposed in [19] with orders of convergence p = 4k + 3, where k ≥ 1 is an integer requiring k + 4 matrix multiplications per ...
14
Least Squares Solutions of Generalized Sylvester Equation with Xi Satisfies Different Linear Constraint
... solutions. Iterative algorithms have been received much attention to solve linear matrix equations in recent ...derived iterative solutions of matrix equations AXB = F and generalized Sylvester matrix ...
16
A weighted least squares solution for space intersection of spaceborne stereo SAR data
... the least squares solution. The iterative updating process for the provi- sional values of the ground coordinates of each ground point will not go further if the criterion of a minimal ...
8
Iterative least squares method for global positioning system
... the solution of an overdeter- mined system of linear equations in each iteration step itr, ...approximate solution to the LS problem, whose accuracy depends on ...the iterative QRD using real GPS ...
6
Two modified least squares iterative algorithms for the Lyapunov matrix equations
... Matrix equations are often encountered in control theory [1, 2], system theory [3, 4], and stability analysis [5–7]. For example, the stability of the autonomous system x(t) = ˙ Ax(t) is determined by whether the ...
10
Consistent least squares fitting of ellipsoids
... We point out several papers in which the ellipsoid fitting problem is considered. Gander et. al. [GGS94] consider algebraic and geometric fit- ting methods for circles and ellipses and note the inadequacy of the alge- ...
18
Off -Grid Direction-of-Arrival Estimation Using a Sparse Array Covariance Matrix
... computational complexity and noises, whereas the latter employs the array covariance matrix to improve its accuracy. Nevertheless, in these sparse representation-based methods the true values of all DoAs are assumed to ...
6
Application of the Method of Least Squares to a Solution of the Matched Field Localization Problem with a Single Hydrophone
... The ocean environment we simulate is a Pekeris waveguide (Pekeris 1948; Jensen, et al. 1994), a model of a single water layer over an infinitely deep fluid bottom layer. Each layer is characterized by a sound speed and a ...
121
Floating point error analysis of recursive least squares and least means squares adaptive filters
... This sequence is a zero mean white independent random process which has a variance related to signal statistics, the weight vector covariance, and the floating point errorso The calculat[r] ...
27
Updating QR factorization procedure for solution of linear least squares problem with equality constraints
... In this section, we will study the backward stability of our proposed Algorithm . The mainstay in our presented algorithm for the solution of LSE problem is the updating pro- cedure. Therefore, our main concern ...
17
Solution of the Nonlinear Least Squares problem using a new Gradient Based Genetic Algorithm
... the solution of harmonic estimation problems in power quality signals using a stochastic optimization technique called the artificial bee colony which they hybridize using least ...
7
Least squares approximations of power series
... classical least squares solutions in C[ − 1, 1] in terms of linear combinations of ul- traspherical polynomials are extended in order to estimate power series on ( − 1, ...
20
08_Linear_Classification_2.pdf
... University Probabilistic Generative Models Continuous Input Discrete Features Probabilistic Discriminative Models Logistic Regression Iterative Reweighted Least Squares Laplace Approxima[r] ...
35
On weighted structured total least squares
... The equivalent optimization problem (1) is a nonlinear least squares prob- lem, so that classical optimization methods can be used for its solution. The optimization methods require a cost function ...
8
Overview of total least squares methods
... total least squares problems [12], the data matrix A B is ...the solution, the total least squares problem formulation is ex- tended [31] with the additional constraint that the ...
24