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斜多项式稀疏矩阵乘法     斜多项式  稀疏矩阵  乘法       2023/12/13
Based on the observation that \mathbb{Q}^{(p-1) \times (p-1)} is isomorphic to a quotient skew polynomial ring, we propose a new deterministic algorithm for (p-1)\times(p-1) matrix multiplication over...
中国科学院微电子研究所专利:低密度奇偶校验码的校验矩阵构造和编解码方法及装置
A matrix-based framework for the modeling, analysis and dynamics of Bayesian games are presented using the semi-tensor product of matrices. Static Bayesian games are considered first. A new conversion...
This paper is concerned with Smith forms of bivariate polynomial matrices. For a bivariate polynomial square matrix with the determinant being the product of two distinct and irreducible univariate po...
Solving evolutionary equations in a parallel-in-time manner is an attractive topic. The iterative algorithm based on the block $\alpha$-circulant preconditioning technique has shown promising advantag...
This paper is devoted to studying an augmented Lagrangian method for solving a class of manifold optimization problems, which have nonsmooth objective functions and nonlinear constraints. Under the co...
This paper is concerned with the factorization and equivalence problems of multivariate polynomial matrices. We present some new criteria for the existence of matrix factorizations for a class of mult...
The first extended greatest common right divisor (GCRD) algorithm for parametric univariate polynomial matrices is presented. The starting point of this GCRD algorithm is the free property of submodul...
This paper is devoted to studying an augmented Lagrangian method for solving a class of manifold optimization problems, which have nonsmooth objective functions and nonlinear constraints. Under the co...
Solving evolutionary equations in a parallel-in-time manner is an attractive topic. The iterative algorithm based on the block $\alpha$-circulant preconditioning technique has shown promising advantag...
This article presents a new study on adaptive control of multi-input and multi-output (MIMO) discrete-time nonlinear systems with a noncanonical form involving parametric uncertainties. The adaptive c...
This article presents a new study on adaptive control of multi-input and multi-output (MIMO) discrete-time nonlinear systems with a noncanonical form involving parametric uncertainties. The adaptive c...
针对GPU上的双精度矩阵乘法(DGEMM)优化,高性能计算部提出了一种平衡GPU硬件资源的细粒度预取方案,有效减少了几类常用分块方法的寄存器使用数量,提高了线程级并行。研究成果发表于国际会议International Parallel & Distributed Processing Symposium(IPDPS,CCF B类)上。相关论文第一作者为博士生李佳霖,导师为张鉴研究员。
中国人民解放军陆军工程大学2020年全国博士研究生统一入学考试初试2002《矩阵理论》试题。
中国人民解放军陆军工程大学2021年博士研究生招生考试基础测试2002《矩阵理论》试题。

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