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  1. A rotated shift-splitting method for complex symmetric linear systems

    This article proposes a generalized rotated shift-splitting (GRSS) iterative method for solving complex symmetric linear systems. Our analysis...

    Snigdhashree Nayak, Debasisha Mishra, Nachiketa Mishra in Numerical Algorithms
    Article 18 March 2024
  2. Modified Newton-PBS method for solving a class of complex symmetric nonlinear systems

    The parameterized block splitting (PBS) is a convergent and efficient iterative method to solve the large complex symmetric linear systems. In this...

    Yuanyuan Zhang, Qingbiao Wu, ... Zhewei **e in Numerical Algorithms
    Article 05 October 2023
  3. A variant of PMHSS iteration method for a class of complex symmetric indefinite linear systems

    We propose a variant of PMHSS iteration method for solving and preconditioning a class of complex symmetric indefinite linear systems. The...

    Zhong Zheng, Min-Li Zeng, Guo-Feng Zhang in Numerical Algorithms
    Article 23 March 2022
  4. Modified LPMHSS Method for a Class of Complex Symmetric Linear Systems

    In this paper, a modified LPMHSS (MLPMHSS) method is proposed to solve the problem of a class of complex symmetric linear systems with strong...
    Shi-Liang Wu, Cui-**a Li in Simulation Tools and Techniques
    Conference paper 2021
  5. Quantum Algorithm for Finding Impossible Differentials and Zero-Correlation Linear Hulls of Symmetric Ciphers

    In this paper, we present quantum algorithms for finding impossible differentials and zero-correlation linear hulls, which are distinguishers for the...
    Huiqin Chen, Yongqiang Li, ... Mingsheng Wang in Information Security and Privacy
    Conference paper 2023
  6. qRLS: quantum relaxation for linear systems in finite element analysis

    Quantum linear system algorithms (QLSAs) for gate-based quantum computing can provide exponential speedups for solving linear systems but face...

    Osama Muhammad Raisuddin, Suvranu De in Engineering with Computers
    Article 24 April 2024
  7. A τ-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation

    In this paper, we study a τ -preconditioner for non-symmetric linear system arising from a steady-state multi-dimensional Riemann-Liouville (RL)...

    Xue-lei Lin, **n Huang, ... Hai-Wei Sun in Numerical Algorithms
    Article 01 July 2022
  8. Software Package USPARS for Large Sparse Systems of Linear Equations

    In this work, we present the software package USPARS, developed by us for solving sparse linear systems of equations using the Gaussian elimination...
    Dmitry Bykov, Victor Kostin, Sergey Solovyev in Supercomputing
    Conference paper 2023
  9. Algorithms for Systems of Linear Equations

    The solution of a system of simultaneous linear equations is a fundamental algorithm in numerical linear algebra and is a basic ingredient of many...
    Thomas Rauber, Gudula Rünger in Parallel Programming
    Chapter 2023
  10. Exact inverse solution techniques for a class of complex valued block two-by-two linear systems

    By taking a complex factorization of the Schur complement matrix into consideration, we present practical expressions for the inverses of a class of...

    Zhao-Zheng Liang, Owe Axelsson in Numerical Algorithms
    Article 06 August 2021
  11. Boundary Stabilization of Complex Coupled Hyperbolic Stochastic Systems

    This study considers the boundary stabilization for complex coupled hyperbolic stochastic systems under the framework of Lyapunov stability. A...
    Yu Gao, Peining Jia, ... Mingxin Kang in Advances in Neural Networks – ISNN 2024
    Conference paper 2024
  12. Complex Systems

    Acomplex systemcomplex system is a collection of interacting components that exhibit collective behavior and properties that are not apparent from...
    Chapter 2023
  13. Minimum residual modified HSS iteration method for a class of complex symmetric linear systems

    For solving a class of complex symmetric system of linear equations, we apply the minimum residual technique to the modified Hermitian and...

    Wei-Hong Zhang, Ai-Li Yang, Yu-Jiang Wu in Numerical Algorithms
    Article 26 May 2020
  14. On the generalized AOR and CG iteration methods for a class of block two-by-two linear systems

    In this work, we utilize the generalized AOR (GAOR) and CG (GCG) methods for constructing iteration methods to solve the block two-by-two linear...

    Fariba Bakrani Balani, Masoud Hajarian in Numerical Algorithms
    Article 14 October 2021
  15. Allotaxonometry and rank-turbulence divergence: a universal instrument for comparing complex systems

    Complex systems often comprise many kinds of components which vary over many orders of magnitude in size: Populations of cities in countries,...

    Peter Sheridan Dodds, Joshua R. Minot, ... Christopher M. Danforth in EPJ Data Science
    Article Open access 19 September 2023
  16. Large-scale correlation network construction for unraveling the coordination of complex biological systems

    Advanced measurement and data storage technologies have enabled high-dimensional profiling of complex biological systems. For this, modern multiomics...

    Martin Becker, Huda Nassar, ... Nima Aghaeepour in Nature Computational Science
    Article Open access 13 April 2023
  17. A null-space approach for large-scale symmetric saddle point systems with a small and non zero (2, 2) block

    Null-space methods have long been used to solve large sparse n × n symmetric saddle point systems of equations in which the (2, 2) block is zero....

    Jennifer Scott, Miroslav Tůma in Numerical Algorithms
    Article Open access 12 January 2022
  18. Fault detection and isolation for linear parameter-varying systems with time-delays: a geometric approach

    Fault detection and isolation (FDI) problems for linear parameter-varying (LPV) systems with state time-delays are studied in this paper. By defining...

    Zhao Zhang, **ao He in Science China Information Sciences
    Article 09 May 2023
  19. Data-driven cooperative optimal output regulation for linear discrete-time multi-agent systems by online distributed adaptive internal model approach

    In this study, a data-driven learning algorithm was developed to estimate the optimal distributed cooperative control policy, which solves the...

    Kedi **e, Yi Jiang, ... Weiyao Lan in Science China Information Sciences
    Article 26 June 2023
  20. Cryptanalysis of DRPE using complex S-Box based on linear canonical transform

    During recent decades, double random phase encoding grasped more attention for researchers. To achieve nonlinearity, it had been done with random...

    R. Girija, H. Singh, G. Abirami in Multimedia Tools and Applications
    Article 20 September 2022
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