# Updating the inverse of a matrix hager

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Our analysis of (5) also leads to a new expression for the error in each iterate. Some of the issues that we focus on are the treatment of r ..." Abstract.In particular, we show that linear convergence is achieved when ae k is fixed, but small. This paper analyzes a constrained optimization algorithm that combines an unconstrained minimization scheme like the conjugate gradient method, an augmented Lagrangian, and multiplier updates to obtain global quadratic convergence.

Secondly, IMISVM achieves faster convergence speed than ISVM.

Various numerical linear algebra techniques required for the efficient implementation of the algorithm are presented, and convergence behavior is illustrated in a series of numerical experiments. We present the Incremental Focus of Attention (IFA) architecture for robust, adaptive, real-time motion tracking.

Citation Context ...ependent at a local minimizer x* of (1), then there exists a neighborhood A of (x*, 2*) for which the problem JOTA: VOL. 3, DECEMBER ]993 433 minimize =-=(9)-=- has a local minimizer x =xk ~, whenever (Yk, 2k) lies in A. Penalty methods applied to terminal constraints are studied in =-=[11]-=-. SQP Methods If (x k ; u k ;sk ) is an approximation to a solution of the control problem (6), then the next SQP iterate (x k 1 ; u k 1 ;sk 1 ) is a solution, and the associated costate variable, ... Penalty methods applied to terminal constraints are studied in =-=[11]-=-. SQP Methods If (xk; uk; k) is an approximation to a solution of the control problem (6), then the next SQP iterate (xk 1; uk 1; k 1) is a solution, and the associated costate variable, for the li... IFA systems combine several visual search and vision-based tracking algorithms into a layered hierarchy.

Some of the issues that we focus on are the treatment of rigid constraints that must be satisfied during the iterations and techniques for balancing the error associated with constraint violation with the error associated with optimality.

A preconditioner is constructed with the property that the rigid constraints are satisfied while ill-conditioning due to penalty terms is alleviated.

Our analysis of (5) also leads to a new expression for the error in each iterate.

In particular, we show that linear convergence is achieved when ρk is fixed, but small. Citation Context ...e parameters, we can write down a convergence theorem.Other applications of stability theory to the convergence of algorithms and to the analysis of discretizations appear in [3], [4], [5], [6], and =-=[11]-=-. This paper analyzes a constrained optimization algorithm that combines an unconstrained minimization scheme like the conjugate gradient method, an augmented Lagrangian, and multiplier updates to obtain global quadratic convergence.Analysis of the algorithm’s recovery times are supported by simulation results and experiments on real data.In particular, examples show that recovery times after lost tracking depend primarily on the number of objects visually similar to the target in the field of view.Implemented IFA systems are extremely robust to most common types of temporary visual disturbances.