Power Method We now describe the power method for computing the dominant eigenpair. Its extension to the inverse power method is practical for finding any eigenvalue provided that a good initial approximation is known. Some schemes for finding eigenvalues use other methods that converge fast, but have limited precision. The inverse power method is then invoked to refine the numerical values and...

We study the deformed kinematics of point particles in the Hořava theory of gravity. This is achieved by considering particles as the optical limit of fields with a generalized Klein-Gordon action. We derive the deformed geodesic equation and study in detail the cases of flat and spherically symmetric (Schwarzschild-like) spacetimes. As the theory is not invariant under local Lorenz transformat...

Inverse dynamics methods for muscle forces prediction are globally unable to predict antagonistic activity during a joint motion. This is due to a lack of physiological information describing how forces are shared between flexors and extensors. The aim of this study is the definition and the use of a new EMG-based cocontraction ratio in an inverse dynamics muscle forces prediction approach appl...

abstract in agriculture, there is a lag between planting decision and supplying the produced commodity to the market. this makes the marketed commodities as predetermined variables and prices as market clearing factor. under such a condition, the inverse demand function in which price is a function of quantity is an appropriate tool for forecasting price responses to the injected quantities to ...

This paper studies the structure of the inverse kinematics (IK) map of a fragment of protein backbone with 6 torsional degrees of freedom. The images (critical sets) of the singularities of the orientation and position maps are computed for a slightly idealized kinematic model. They yield a decomposition of SO(3) and R into open regions where the number of IK solutions is constant. A proof of t...

The topic of this paper is a convergence analysis of preconditioned inverse iteration (PINVIT). A sharp estimate for the eigenvalue approximations is derived; the eigenvector approximations are controlled by an upper bound for the residual vector. The analysis is mainly based on extremal properties of various quantities which define the geometry of PINVIT.

We formulate the notion of parity for the periodic XXZ spin chain within the Quantum Inverse Scattering Method. We also propose an expression for the eigenvalues of the charge conjugation operator. We use these discrete symmetries to help classify low-lying Sz = 0 states in the critical regime, and we give a direct computation of the S matrix.

Concentrated solar power (CSP) plants are expansive facilities that require substantial inspection and maintenance. A fully automated inspection robot increases the efficiency of maintenance work, reduces operating and maintenance costs, and improves safety and work conditions for service technicians. This paper describes a climbing robot that is capable of performing inspection and maintenance...

a r t i c l e i n f o a b s t r a c t Given a real number sequence A = (a 1 , a 2 ,. .. ,a n), an average lower bound L, and an average upper bound U , the Average-Constrained Maximum-Sum Segment problem is to locate a segment A(i, j) = (a i , a i+1 ,. .. ,a j) that maximizes ik j a k subject to L (ik j a k)/(j − i + 1) U. In this paper, we give an O (n)-time algorithm for the case where the av...

In this paper, we present a general revision model on epistemic states based on plausibility measures proposed by Friedman and Halpern. We propose our revision strategy and give some desirable properties, e.g., the reversible and commutative properties. Moreover, we develop a notion called plausibility kinematics and show that our revision strategy follows plausibility kinematics. Furthermore, ...