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Continuation Newton methods with deflation techniques for global optimization problems
The global minimum point of an optimization problem is of interest in engineering fields and it is difficult to solve, especially for a nonconvex...
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Deflation of Periodic Orbits in Large-Scale Systems: Algorithm and Parallel Implementation
We consider a nonlinear autonomous large-scale dynamical system with a parameter. Such systems usually stem from the discretization of initial... -
Conjugate Direction Methods for Parallel Deflation
We consider parallel iterative processes in Krylov subspaces for solving symmetric positive definite systems of linear algebraic equations (SLAEs)... -
Rational QZ steps with perfect shifts
In this paper we analyze the stability of the problem of performing a rational QZ step with a shift that is an eigenvalue of a given regular pencil
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Analysis of Inflation in Perceived Marks in a Grading Algorithm
Evaluating the performance of students in a higher educational institution is a challenging task. The performance of students is often evaluated...
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Randomized flexible GMRES with deflated restarting
For a high dimensional problem, a randomized Gram-Schmidt (RGS) algorithm is beneficial in computational costs as well as numerical stability. We...
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A Two-Step Quaternionic Root-Finding Method
In this paper we present a new method for determining simultaneously all the simple roots of a quaternionic polynomial. The proposed algorithm is a... -
Algorithms for Pixelwise Shape Deformations Preserving Digital Convexity
In this article, we propose algorithms for pixelwise deformations of digital convex sets preserving their convexity using the combinatorics on words... -
Root-Finding with Implicit Deflation
Functional iterations such as Newton’s are a popular tool for polynomial root-finding. We consider realistic situation where some (e.g.,... -
Responding to Regional Revitalisation and Socio-economic Challenges in Japan: Government Approaches and Use of Advanced Technologies
Japan has one of the world's fastest ageing populations, leading to a shrinking workforce and labour shortages in various industries, with consequent... -
Design of A Lower Limb Rehabilitation Training Robot Based on A Double Four-Bar Synchronous Motion Mechanism
For patients with lower limb dysfunction who need to complete gait rehabilitation training, a new single-degree-of-freedom human lower limb... -
Condition Monitoring of a Mechanical Pulsatile Heart Support System via Support-Vector Machine
Patients with life-threatening heart failure where all conservative therapeutic options have been exhausted may be indicated for mechanical pulsatile... -
Deflated manifold embedding PCA framework via multiple instance factorings
Principal component analysis is a widely used technique. However, it is sensitive to noise and considers data samples to be linearly distributed...
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A new algorithm for zero-modified models applied to citation counts
Finding statistical models for citation count data is important for those seeking to understand the citing process or when using regression to...
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Feature selection based on correlation deflation
Feature selection is very important in many machine learning and data mining applications. In this paper, a simple and effective...
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On restarted and deflated block FOM and GMRES methods for sequences of shifted linear systems
The problem of shifted linear systems is an important and challenging issue in a number of research applications. Krylov subspace methods are...
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Toward a More Realistic 3D Biomimetic Soft Robotic Tongue to Investigate Oral Processing of Semi-solid Foods
The current in vitro experiments reproducing food oral processing are not fully representative of the oral anatomy and of the biomechanics of the... -
Research on Designing Interventions for Cyberbullying Among Adolescents Under the Trends of AIGC
Background: Cyberbullying is widespread in contemporary society, posing a severe threat to adolescents’ mental and physical well-being, leading to... -
Modeling of continuum robots with environmental constraints
Leveraging the intrinsic compliance of continuum robots is a promising approach to enable symbiosis and harmoniousness in an unstructured...
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Rapid Actuation for Soft Pneumatic Actuators Using Dynamic Instability Mechanism
The response speed of soft pneumatic actuators is usually limited by the intrinsic material and unstressed stable form. This paper describes a design...