• Bulletin of the Korean Mathematical Society
• /
• v.44 no.3
• /
• pp.493-506
• /
• 2007

In this paper weak and strong convergence theorems of modified Noor iterations to fixed points for asymptotically nonexpansive mappings in the intermediate sense in Banach spaces are established. In one theorem where we establish strong convergence we assume an additional property of the operator whereas in another theorem where we establish weak convergence assume an additional property of the space.

• Journal of the Korean Mathematical Society
• /
• v.48 no.5
• /
• pp.887-898
• /
• 2011

In this paper, we first discuss the convergence of the continued fractions of generalized Rogers-Ramanujan type in the modified sense. Then we prove several equalities concerning these continued fractions. The proofs of our main results are mainly based on the Bauer-Muir transformation.

• The Pure and Applied Mathematics
• /
• v.13 no.1 s.31
• /
• pp.39-46
• /
• 2006

We establish a general theorem to approximate fixed points of quasicontractive operators on a normed space through the Noor iteration process with errors in the sense of Liu [9]. Our result generalizes and improves upon, among others, the corresponding result of Berinde [1].

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.18 no.6
• /
• pp.815-823
• /
• 1993

In this paper, the structure of modified multiplication-free adaptive filter(M-MADF) and convergence analysis are presented. To evaluate the performance of proposed M-MADF algorithm, fractionally spaced equalizer (FSE) is used. The input signals are quantized using DPCM and the reference signals is processed using a first-order linear prediction filter, and the outputs are processed by a conventional adaptive filter. The filter coefficients are updated using the Sign algorithm. Under the assumption that the primary and reference signals are zero mean, wide-sense stationary and Gaussian, theoretical results for the coefficient misalignment vector and its autocorrelation matrix of the filter are driven. The convergence properties of Sign. MADF and M-MADF algorithm for updating of the coefficients of a digital filter of the fractionally spaced equalizer (FSE) are investigated and compared with one another. The convergence properties are characterized by the steady state error and the convergence speed. It is shown that the convergence speed of M-MADF is almost same as Sign algorithm and is faster that MADF in the condition of same steady error. Especially it is very useful for high correlated signals.

• Kyungpook Mathematical Journal
• /
• v.52 no.4
• /
• pp.433-441
• /
• 2012

We adapt the concept of shrinking projection method of Takahashi et al. [J. Math. Anal. Appl. 341(2008), 276-286] to the iteration scheme studied by Kim and Lee [Kyungpook Math. J. 48(2008), 685-703] for two relatively weak nonexpansive mappings. By letting one of the two mappings be the identity mapping, we also obtain strong convergence theorems for a single mapping with two types of computational errors. Finally, we improve Kim and Lee's convergence theorem in the sense that the same conclusion still holds without the uniform continuity of mappings as was the case in their result.

• Bulletin of the Korean Mathematical Society
• /
• v.47 no.5
• /
• pp.973-985
• /
• 2010

We introduce an iteration scheme for approximating common fixed points of two mappings. On one hand, it extends a scheme due to Agarwal et al. [2] to the case of two mappings while on the other hand, it is faster than both the Ishikawa type scheme and the one studied by Yao and Chen [18] for the purpose in some sense. Using this scheme, we prove some weak and strong convergence results for approximating common fixed points of two nonexpansive self mappings. We also outline the proofs of these results to the case of nonexpansive nonself mappings.

• Journal of Institute of Convergence Technology
• /
• v.1 no.1
• /
• pp.29-33
• /
• 2011

This study is performed to investigate the effect of the artificial light for room lightening. To do that, the experiments were done using the black room with 1m3 and performed to show the effect of the length between the room and light source and light intensities as LUX. The LUX of 18 sites in the room was measured using LUX meter. The length between the room and the light source was chosen as 500mm, 1000mm, and 1500mm and the light intensities was 3 levels. The results were shown the distinct difference between the part directly projected through the light path and non-directly projected. So, the light delivery path have to be modified for next step research. The results were very sensitive for the part directly projected through the light path. This study showed the basic results for room lightening using light source to simulate the solar lightening and was worth in a strict sense as fundamental study.

• 제어로봇시스템학회:학술대회논문집
• /
• 1992.10b
• /
• pp.1-6
• /
• 1992

A principle of "orthogonalization" is proposed as an extended notion of hybrid (force and position) control for robot manipulators under geometric endpoint constraints. The principle realizes the hybrid control in a strict sense by letting position and velocity feedback signals be orthogonal in joint space to the contact force vector whose components are exerted at corresponding joints. This orthogonalization is executed via a projection matrix computed in real-time from a gradient of the equation of the surface in joint coordinates and hence both projected position and velocity feedback signals become perpendicular to the force vector that is normal to the surface at the contact point in joint space. To show the important role of the principle in control of robot manipulators, three basic problems are analyzed, the first is a hybrid trajectory tracking problem by means of a "modified hybrid computed torque method", the second is a model-based adaptive control problem for robot manipulators under geometric endpoint constraints, and the third is an iterative learning control problem. It is shown that the passivity of residual error dynamics of robots follows from the orthogonalization principle and it plays a crucial role in convergence properties of both positional and force error signals.force error signals.

• 한국정보컨버전스학회:학술대회논문집
• /
• 2008.06a
• /
• pp.125-128
• /
• 2008

The aim this master thesis is to find out if is possible to Integrate haptic hardware support in the source 3D game engine Crystal Space. Integrating haptic support would make it possible to get a haptic representation of 3D geometry in Crystal Space and therefore take advantage of all the benefits a 3D game engine provides, when building haptic applications, An implementation of the support should be as low-cost as Possible by taking advantage of available source haptic API alternatives. The thesis report presents an evaluation of available haptic APIs and comes up with a design and an implementation. The solution has been implemented as a Crystal Space plugin by using modified parts of the e-Touch open module API. The plugin makes it possible to utilize the Phantom haptic device to touch and feel the 3D environments in a Crystal Space application. Two demo applications have also been constructed to show the capabilities of the plugin.

• Journal of the Institute of Convergence Signal Processing
• /
• v.8 no.1
• /
• pp.73-77
• /
• 2007

In this paper, we propose a VLSI architecture of an LMS filter based on a Cyclo-static scheduler for fast computation of LMS filteing algorithm which is widely used in adptive filtering area. This process is composed of two steps: scheduling and circuit synthesis. The scheduling step accepts a fully specified flow graph(FSFG) as an input, and generates an optimal Cyclo-static schedule in the sense of the sampling rate, the number of processors, and the input-output delay. Then the generated schedule is transformed so that the number of communication edges between the processors. The circuit synthesis part translates the modified schedule into a complete circuit diagram by performing resource allocations. The VLSI layout generation can be performed easily by an existing silicon compiler.