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The results of computational experiments with ABS algorithms for KKT linear systems are reported.

Numerical Analysis · Mathematics 2025-10-20 E. Bodon , A. Del Popolo , L. Luksan , E. Spedicato

Numerical experiments are performed in order to study the performance of ABS codes in solving non-linear systems of equations.

Numerical Analysis · Mathematics 2025-10-20 E. Bodon , A. Del Popolo , L. Luksan , E. Spedicato

We present the main results obtained during a research on ABS methods in the framework of the project Analisi Numerica e Matematica Computazionale.

Numerical Analysis · Mathematics 2025-10-20 E. Spedicato , Z. Xia , E. Bodon , A. Del Popolo

We present a review and bibliography of the main results obtained during a research on ABS (Abaffy, Broyden, Spedicato) methods.

Numerical Analysis · Mathematics 2025-10-20 Emilio Spedicato , Elena Bodon , Antonino Del Popolo , Zunquan Xia

We present here algorithms for efficient computation of linear algebra problems over finite fields.

Symbolic Computation · Computer Science 2013-05-21 Jean-Guillaume Dumas , Clément Pernet

This paper presents a finite step method for computing the binary solution to an overdetermined system of linear algebraic equations Ax = b, where A is an m x n real matrix of rank n < m, and b is a real m-vector. The method uses the…

Numerical Analysis · Mathematics 2011-01-18 Subhendu Das

This paper provides a review of Approximate Bayesian Computation (ABC) methods for carrying out Bayesian posterior inference, through the lens of density estimation. We describe several recent algorithms and make connection with traditional…

Computation · Statistics 2019-09-09 Clara Grazian , Yanan Fan

Quantum adiabatic algorithm is of vital importance in quantum computation field. It offers us an alternative approach to manipulate the system instead of quantum gate model. Recently, an interesting work arXiv:1805.10549 indicated that we…

Quantum Physics · Physics 2019-01-23 Jingwei Wen , Xiangyu Kong , Shijie Wei , Bixue Wang , Tao Xin , Guilu Long

We present algorithms used in the computational part of the article "Special homogeneous linear systems on Hirzebruch surfaces".

Algebraic Geometry · Mathematics 2009-11-10 Marcin Dumnicki

In this work we present a new simple but efficient scheme - Subsquares approach - for development of algorithms for enclosing the solution set of overdetermined interval linear systems. We are going to show two algorithms based on this…

Numerical Analysis · Computer Science 2013-05-07 Jaroslav Horáček , Milan Hladík

By the nature of their construction, many statistical models for extremes result in likelihood functions that are computationally prohibitive to evaluate. This is consequently problematic for the purposes of likelihood-based inference. With…

Methodology · Statistics 2014-11-07 Robert Erhardt , Scott A. Sisson

This paper is to explore a model of the ABS Algorithms for dealing with a class of systems of linear stochastic equations A xi=eta satisfying eta sim N_m(v, I_{m}). It is shown that the iteration step alpha_{i} is N(V,\pi) and approximation…

Numerical Analysis · Mathematics 2025-10-20 Hai-Shan Han , Zun-Quan Xia , Antonino Del Popolo

This paper investigates two issues on identification of switched linear systems: persistence of excitation and numerical algorithms. The main contribution is a much weaker condition on the regressor to be persistently exciting that…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Biqiang Mu , Tianshi Chen , Changming Cheng , Er-Wei Bai

A simple yet efficient computational algorithm for computing the continuous optimal experimental design for linear models is proposed. An alternative proof the monotonic convergence for $D$-optimal criterion on continuous design spaces are…

Computation · Statistics 2018-04-10 Jiangtao Duan , Wei Gao , Hon Keung Tony Ng

We present an exposition of our ongoing project in a new area of applicable mathematics: practical computation with finitely generated linear groups over infinite fields. Methodology and algorithms available for practical computation in…

Group Theory · Mathematics 2021-10-01 A. S. Detinko , D. L. Flannery

We develop a full-fledged analysis of an algorithmic decision process that, in a multialternative choice problem, produces computable choice probabilities and expected decision times.

Theoretical Economics · Economics 2023-05-08 Carlo Baldassi , Fabio Maccheroni , Massimo Marinacci , Marco Pirazzini

We develop adaptive discretization algorithms for locally optimal experimental design of nonlinear prediction models. With these algorithms, we refine and improve a pertinent state-of-the-art algorithm in various respects. We establish…

Optimization and Control · Mathematics 2024-06-04 Jochen Schmid , Philipp Seufert , Michael Bortz

In the following article we consider approximate Bayesian computation (ABC) for certain classes of time series models. In particular, we focus upon scenarios where the likelihoods of the observations and parameter are intractable, by which…

Computation · Statistics 2014-01-03 Ajay Jasra

The authors proposed a general way to find particular solutions for overdetermined systems of PDEs previously, where the number of equations is greater than the number of unknown functions. In this paper, we propose an algorithm for finding…

Symbolic Computation · Computer Science 2019-12-30 Maxim Zaytsev , V'yacheslav Akkerman

Computing tight over-approximation of reach sets of a controlled uncertain dynamical system is a common practice in verification of safety-critical cyber-physical systems (CPS). While several algorithms are available for this purpose, they…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Shadi Haddad , Abhishek Halder
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