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Shared-memory parallelization (SMP) strategies for density matrix renormalization group (DMRG) algorithms enable the treatment of complex systems in solid state physics. We present two different approaches by which parallelization of the…

Strongly Correlated Electrons · Physics 2009-11-10 G. Hager , E. Jeckelmann , H. Fehske , G. Wellein

We present and release in open source format a sparse linear solver which efficiently exploits heterogeneous parallel computers. The solver can be easily integrated into scientific applications that need to solve large and sparse linear…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-26 Massimo Bernaschi , Alessandro Celestini , Pasqua D'Ambra , Flavio Vella

We study a block-structured class of convex-concave saddle-point problems in which both the primal and dual variables admit natural separable decompositions. Motivated by large-scale applications where a full update on either side can be…

Optimization and Control · Mathematics 2026-05-19 Yiheng Xiao , Huikang Liu

Scientific applications produce vast amounts of data, posing grand challenges in the underlying data management and analytic tasks. Progressive compression is a promising way to address this problem, as it allows for on-demand data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-02 Yanliang Li , Wenbo Li , Qian Gong , Qing Liu , Norbert Podhorszki , Scott Klasky , Xin Liang , Jieyang Chen

Efficient memory management in heterogeneous systems is increasingly challenging due to diverse compute architectures (e.g., CPU, GPU, FPGA) and dynamic task mappings not known at compile time. Existing approaches often require programmers…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-29 Serhan Gener , Aditya Ukarande , Shilpa Mysore Srinivasa Murthy , Sahil Hassan , Joshua Mack , Chaitali Chakrabarti , Umit Ogras , Ali Akoglu

We introduce a data distribution scheme for $\mathcal{H}$-matrices and a distributed-memory algorithm for $\mathcal{H}$-matrix-vector multiplication. Our data distribution scheme avoids an expensive $\Omega(P^2)$ scheduling procedure used…

Numerical Analysis · Mathematics 2020-09-23 Yingzhou Li , Jack Poulson , Lexing Ying

Distributed AI systems face critical memory management challenges across computation, communication, and deployment layers. RRAM based in memory computing suffers from scalability limitations due to device non idealities and fixed array…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Zixuan Li , Chuanzhen Wang , Haotian Sun

Hamilton-Jacobi (HJ) partial differential equations (PDEs) have diverse applications spanning physics, optimal control, game theory, and imaging sciences. This research introduces a first-order optimization-based technique for HJ PDEs,…

Numerical Analysis · Mathematics 2023-10-04 Tingwei Meng , Wenbo Hao , Siting Liu , Stanley J. Osher , Wuchen Li

In-memory analog matrix computing (AMC) with resistive random-access memory (RRAM) represents a highly promising solution that solves matrix problems in one step. However, the existing AMC circuits each have a specific connection topology…

Hardware Architecture · Computer Science 2025-04-15 Lunshuai Pan , Shiqing Wang , Pushen Zuo , Zhong Sun

Compute-in-SRAM architectures offer a promising approach to achieving higher performance and energy efficiency across a range of data-intensive applications. However, prior evaluations have largely relied on simulators or small prototypes,…

Hardware Architecture · Computer Science 2025-09-09 Niansong Zhang , Wenbo Zhu , Courtney Golden , Dan Ilan , Hongzheng Chen , Christopher Batten , Zhiru Zhang

The edge computing paradigm has emerged to handle cloud computing issues such as scalability, security and low response time among others. This new computing trend heavily relies on ubiquitous embedded systems on the edge. Performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-28 Mohammad Hosseinabady , Mohd Amiruddin Bin Zainol , Jose Nunez-Yanez

The development of sixth-generation (6G) mobile networks imposes unprecedented latency and reliability demands on multiple-input multiple-output (MIMO) communication systems, a key enabler of high-speed radio access. Recently, deep…

Hardware Architecture · Computer Science 2025-08-26 Tingyu Ding , Qunsong Zeng , Kaibin Huang

With the growing reliance of modern supercomputers on accelerator-based architectures such a GPUs, the development and optimization of electronic structure methods to exploit these massively parallel resources has become a recent priority.…

Modern 3D image recovery problems require powerful optimization frameworks to handle high dimensionality while providing reliable numerical solutions in a reasonable time. In this perspective, asynchronous parallel optimization algorithms…

Optimization and Control · Mathematics 2020-06-26 Mathieu Chalvidal , Emilie Chouzenoux

First-order methods based on the PDHG algorithm have recently emerged as a viable option for efficiently solving large-scale linear programming problems. One highly desirable property of these methods is that they can make effective use of…

Optimization and Control · Mathematics 2025-10-29 Edward Rothberg

Recently, Deep Neural Networks (DNNs) have recorded great success in handling medical and other complex classification tasks. However, as the sizes of a DNN model and the available dataset increase, the training process becomes more complex…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-08 Samson B. Akintoye , Liangxiu Han , Xin Zhang , Haoming Chen , Daoqiang Zhang

It is common for real-world applications to analyze big graphs using distributed graph processing systems. Popular in-memory systems require an enormous amount of resources to handle big graphs. While several out-of-core approaches have…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-08 Peng Sun , Yonggang Wen , Ta Nguyen Binh Duong , Xiaokui Xiao

In recent years, there has been growing interest in solving linear optimization problems - or more simply "LP" - using first-order methods in order to avoid the costly matrix factorizations of traditional methods for huge-scale LP…

Optimization and Control · Mathematics 2026-01-06 Zikai Xiong , Robert Michael Freund

In this paper, an efficient divide-and-conquer (DC) algorithm is proposed for the symmetric tridiagonal matrices based on ScaLAPACK and the hierarchically semiseparable (HSS) matrices. HSS is an important type of rank-structured…

Mathematical Software · Computer Science 2016-12-27 Shengguo Li , Francois-Henry Rouet , Jie Liu , Chun Huang , Xingyu Gao , Xuebin Chi

Second-order optimization methods, which leverage curvature information, offer faster and more stable convergence than first-order methods such as stochastic gradient descent (SGD) and Adam. However, their practical adoption is hindered by…

Emerging Technologies · Computer Science 2025-12-08 Saitao Zhang , Yubiao Luo , Shiqing Wang , Pushen Zuo , Yongxiang Li , Lunshuai Pan , Zheng Miao , Zhong Sun