This work presents an improvement on the simple algorithms of matrix inversion (Farooq & Hamid, 2010). This generalized algorithm supports selection of pivot randomly in the matrix thus supporting partial and full pivoting. The freedom in pivot selection can be used in minimizing the numerical error and prioritizing the variable to find the solution first. The algorithm is more suitable for fin...

Duality theory is pervasive in finite dimensional optimization. There is growing interest in solving infinite-dimensional optimization problems and hence a corresponding interest in duality theory in infinite dimensions. Unfortunately, many of the intuitions and interpretations common to finite dimensions do not extend to infinite dimensions. In finite dimensions, a dual solution is represented...

We propose a Newton-CG primal proximal point algorithm for solving large scale log-determinant optimization problems. Our algorithm employs the essential ideas of the proximal point algorithm, the Newton method and the preconditioned conjugate gradient solver. When applying the Newton method to solve the inner sub-problem, we find that the log-determinant term plays the role of a smoothing term...

In this paper, finding the maximum load carrying capacity of mobile manipulators for a given two-end-point task is formulated as an optimal control problem. The solution methods of this problem are broadly classified as indirect and direct. This work is based on the indirect solution which solves the optimization problem explicitly. In fixedbase manipulators, the maximum allowable load is limit...

In this paper, a new proposed space-time code for four-time slots and two transmitters for uplink transmission in a mobile system is presented. The mobile system needs three or four-time slots for data transmission. Also, this code is applied for multi-input multi-output (MIMO) fading channel. The proposed orthogonal space-time code achieves the properties of space-time code such as a full rate...

For the well-known exponential complexity it is a giant challenge to calculate correlation function for general many-body wave function. We investigate ground state $n$th-order functions of Tonks-Girardeau (TG) gases. Basing on wavefunction free fermions and Bose-Fermi mapping method we obtain exact TG Utilizing properties Vandermonde determinant Toeplitz matrix, formulated as $(N-n)$-order det...

We have taken advantage of some unique properties of H-2Ld to investigate the determinant density requirements for cytotoxic T lymphocyte (CTL) priming versus effector function and to correlate the determinant density requirements with CD8 dependency. In a previous study (Lie, W.-R., N. B. Myers, J. Gorka, R. J. Rubocki, J. M. Connolly, and T. H. Hansen. 1990. Nature [Lond.]. 344:439), we demon...

this study will provide detailed specification of those variables and determinants of unpredictable health expenditure in iran, and the requirements to reduce extensive effects of the factors affecting households' payments for health and other goods and services inappropriately.this study aims to identify measures of fair financing of health services and determinants of fair financing contribut...