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Highly Accurate Golden Section Search Algorithms and Fictitious Time Integration Method for Solving Nonlinear Eigenvalue Problems

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Computer Modeling in Engineering & Sciences 2024年第5期139卷 1317-1335页

作者： Chein-Shan Liu Jian-Hung Shen chung-lun kuo Yung-Wei Chen Center of Excellence for Ocean Engineering Taiwan Ocean UniversityKeelung202301TaiwanChina Department of Marine Engineering Taiwan Ocean UniversityKeelung202301TaiwanChina

This study sets up two new merit functions,which are minimized for the detection of real eigenvalue and complex eigenvalue to address nonlinear eigenvalue *** each eigen-parameter the vector variable is solved from a nonhomogeneous linear system obtained by reducing the number of eigen-equation one less,where one of the nonzero components of the eigenvector is normalized to the unit and moves the column containing that component to the right-hand side as a nonzero input vector.1D and 2D golden section search algorithms are employed to minimize the merit functions to locate real and complex ***,the real and complex eigenvectors can be computed very accurately.A simpler approach to the nonlinear eigenvalue problems is proposed,which implements a normalization condition for the uniqueness of the eigenvector into the eigenequation *** real eigenvalues can be computed by the fictitious time integration method(FTIM),which saves computational costs compared to the one-dimensional golden section search algorithm(1D GSSA).The simpler method is also combined with the Newton iterationmethod,which is convergent very *** the proposed methods are easily programmed to compute the eigenvalue and eigenvector with high accuracy and efficiency.

关键词： Nonlinear eigenvalue problem quadratic eigenvalue problem two new merit functions golden section search algorithm fictitious time integration method

ADDITIVE PERTURBATIONS OF LOCAL C-SEMIGROUPS

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Acta Mathematica Scientia 2015年第6期35卷 1566-1576页

作者： chung-Cheng kuo Department of Mathematics Fu Jen University

In this paper, we apply the contraction mapping theorem to establish some bounded and unbounded additive perturbation theorems concerning local C-semigroups. Some growth conditions of perturbations of local C-semigrou... 详细信息

关键词： local C-semigroup generator abstract Cauchy problem perturbation

Rotary ultrasonic-assisted milling of brittle materials

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中国有色金属学会会刊：英文版 2012年第S3期22卷 793-800页

作者： kuo Kei-lin TSAO chung-chen Department of Vehicle Engineering National Taipei University of Technology Department of Automation Engineering Tahua Institute of Technology

In order to improve the machining efficiency of ultrasonic milling,the easiest and most effective approach was started with the improvement of tool *** main objective of this research was to utilize rotary ultrasonic machining (RUM's) effectiveness in removing brittle materials to extend the applications of this independent,innovative manufacturing method (self-driving rotary ultrasonic machining),and to experimentally investigate its milling application on brittle *** designed tool was used in the conjunction with previously established RUM machine tools,and glass was selected as workpiece for *** interrelationship between feed rate and depth of cut was *** measuring the surface roughness of workpiece,the overall efficacy of utilizing RUM for milling was evaluated and *** assisted milling results in the reduction of milling resistance,which leads to a greater process rate.

关键词： rotary ultrasonic ultrasonic assisted milling brittle material

Ultrasonic-assisted vibration tapping using taps with different coatings

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中国有色金属学会会刊：英文版 2012年第S3期22卷 764-768页

作者： chung-chen TSAO Kei-lin kuo Tahua University of Science and Technology National Taipei University of Technology

A machine vision for assessing and inspecting the ratio of thread areas associated with fixed frequency (FF) and limited tracing frequency (LTF) ultrasonic-assisted vibration was presented using differently coated taps after tapping of Ti-6Al-4V *** results indicate that TiAlN Micran taps yield the best tapping quality for different coatings and tapping *** Micran coated taps with LTF make the largest improvement over traditional tapping (TT),with an average increase of 30.2%.

关键词： tapping fixed frequency limited tracing frequency Ti-6Al-4V alloys

Rapid Geometry Analysis for Earthquake-induced and Rainfall-induced Landslide Dams in Taiwan

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Journal of Mountain Science 2014年第2期11卷 360-370页

作者： Kun-Ting CHEN Yu-Shu kuo Chjeng-lun SHIEH Department of Hydraulic and Ocean Engineering National Cheng-Kung University

Stability analysis of the dam is important for disaster prevention and reduction. The dam's geometry plays an important role in understanding its stability. This study develops a rapid landslide dam geometry assessment method for both earthquake-induced and rainfall-induced landslide dams based on nine real cases collected in Chinese Taipei and 214 cases collected worldwide. For simplification purposes, a landslide dam is classified into triangular or trapezoidal. The rapid landslide dam geometry assessment method in this paper uses only satellite maps and the topographic maps to get landslide area, and then analyze the dam geometry. These maps are used to evaluate the area of the landslide and the slope of the river bed. Based on the evaluation information, the proposed method can calculate dam height, the length of the dam, and the angles of the dam in both upstream and downstream directions. These geometry parameters of a landslide dam provide important information for further dam stability analysis. The proposed methodology is applied to a real landslide dam case at Hsiaolin Village. The result shows that the proposed method can be used to assess the landslide dam geometry.

关键词： Landslide dam Dam geometry Dam stability analysis

A novel multisignature scheme for a special verifier group against clerk and rogue-key attacks

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Journal of Zhejiang University-Science C(Computers and Electronics) 2010年第4期11卷 290-295页

作者： Jia-lun TSAI Tzong-chen WU kuo-yu TSAI Department of Information Management National Taiwan University of Science and Technology Taiwan Information Security Center National Taiwan University of Science and Technology

The digital signature is a very important subject for network *** multiple signers and multiple verifiers,Xie and Yu(2004) pointed out that the multisignature scheme of Laih and Yen(1996) is vulnerable to a harmful *** attack can occur when a specified group of verifiers cooperate to forge a multisignature by secret key substitution following the leak of a secret key or by group public key adjustment during the process of renewing *** and Yu proposed an improvement of Laih and Yen's multisignature *** this paper,we show that Xie and Yu's scheme is vulnerable to clerk and rogue-key *** propose an improved multisignature scheme to resist such *** the proposed scheme,multiple signers can generate a multisignature for the message with the signers' secret keys,and the specified group of verifiers can cooperate to verify the validity of the multisignature with the signers' public keys and the verifiers' secret *** proposed scheme for a special verifier group not only has the advantages of Xie and Yu's scheme,but also is secure against clerk and rogue-key attacks.

关键词： Multisignature Clerk attack Rogue-key attack Cryptosystem

Improved Dual-image Quality with Reversible Data Hiding Using Translocation and Switching Strategy

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Computer Systems Science & Engineering 2023年第2期44卷 1551-1566页

作者： Chin-Feng Lee kuo-chung Chan Department of Information Management Chaoyang University of TechnologyTaichung41349Taiwan

Dual-image reversible data hiding(RDH)is a technique for hiding important *** technology can be used to safely deliver secret mes-sages to the recipient through dual images in an open network without being easily *** recipient of the image must receive the two stego-images before the secret message can be completely *** is one of the main advantages of data hiding technology;to increase the imperceptibility,the quality requirements of the stego-images are relatively important.A dual ste-ganographic image RDH method,called a DS-CF scheme that can achieve a bet-ter steganographic image quality using the center folding(CF)*** this paper,we developed a translocation and switching strategy(TaS)to shorten the distances between the stego-pixel coordinates and the cover pixel coordinates after information being *** with the DS-CF scheme,our proposed DS-TaS scheme can effectively improve the quality of the steganographic images at the same level of embedding *** experimental results show that the PSNR of our DS-TaS scheme at k=1 was 55.66 dB,which is an increase of 1.5 dB,and is 51.43 dB for k=2,46.66 dB for k=3,and 40.91 dB for k=*** addition,the PSNR values of the stego images was increased by 1.5,0.29,0.29,and 0.19 dB,*** shows that our proposed dual-image RDH method can optimize the visual quality of the stego-images and is better than many other dual-image RDH techniques.

关键词： Information hiding reversible data hiding(RDH) dual-image RDH center folding(CF)strategy

MULTIPLICATIVE PERTURBATIONS OF LOCAL α-TIMES INTEGRATED C-SEMIGROUPS

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Acta Mathematica Scientia 2017年第3期37卷 877-888页

作者： Nai-Sher YEH chung-Cheng kuo Department of Mathematics Fu Jen Catholic University New Taipei City Taiwan China

We establish some left and right multiplicative perturbations of a local α-timesintegrated C-semigroup S（·） on a complex Banach space X with non-densely defined genera- tor, which can be applied to obtain some additive perturbation results concerning S（·）. Some growth conditions of the perturbations of S（·） are also established.

关键词： Integrated C-semigroup generator abstract Cauchy problem perturbation

D-Stars as Gravitational Lenses

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Chinese Physics Letters 2001年第1期18卷 4-6页

作者： LI Xin-Zhou CHENG Hong-Bo chung-I kuo Department of Physics Shanghai Normal UniversityShanghai 200234 East China Institute for Theoretical Physics Shanghai 200237 Department of Physics Soochow UniversityTaipei

Scalar particles might be in the universe as diffuse gaseous clouds or compact objects and might be even present in *** astrophysical consequences are discussed in ***,D-stars may be considered as an elegant *** Einst... 详细信息

关键词： consequences gaseous observable