云南高校图书馆联盟文献共享服务平台- Advances in Linear Algebra & Matrix Theory

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Application of the Todd-Coxeter Algorithm in the Computation of Group Theory: 《Advances in Linear Algebra & Matrix Theory》2023年第3期37-52,共16页Moumouni Djassibo Woba; In this article, we have described the Todd-Coxeter algorithm. Indeed, the Todd-Coxeter algorithm is a mathematical tool used in the field of group theory. It makes it possible to determine different possible presenta...; 关键词：Todd-Coxeter Algorithm SUBGROUP Semi-Direct Operating Group HOMOMORPHISM

Generalized Invertibility of Operators through Spectral Sets: 《Advances in Linear Algebra & Matrix Theory》2023年第2期21-35,共15页E. Salgado-Matias S. V. Djordjević G. Kantún-Montiel; If an operator is not invertible, we are interested if there is a subspace such that the reduction of the operator to that subspace is invertible. In this paper we give a spectral approach to generalized inverses cons...; 关键词：Generalized Inverse Matrix Form Resolvent Function Spectral Projection

Root Systems Lie Algebras: 《Advances in Linear Algebra & Matrix Theory》2023年第1期1-20,共20页Amor Hasić Fatih Destović; A root system is any collection of vectors that has properties that satisfy the roots of a semi simple Lie algebra. If g is semi simple, then the root system A, (Q) can be described as a system of vectors in a Euclide...; 关键词：Lie Algebras Root Systems Ways Chambers Dynkin Diagrams

Effective Methods of QR-Decompositions of Square Complex Matrices by Fast Discrete Signal-Induced Heap Transforms: 《Advances in Linear Algebra & Matrix Theory》2022年第4期87-110,共24页Artyom M. Grigoryan; The purpose of this work is to present an effective tool for computing different QR-decompositions of a complex nonsingular square matrix. The concept of the discrete signal-induced heap transform (DsiHT, Grigoryan 20...; 关键词：QR Decomposition Signal-Induced Heap Transform Householder Transform Givens Rotations

Some New Systems of Exponentially General Equations: 《Advances in Linear Algebra & Matrix Theory》2022年第3期67-86,共20页Muhammad Aslam Noor Khalida Inayat Noor; Some new systems of exponentially general equations are introduced and investigated, which can be used to study the odd-order, non-positive and nonsymmetric exponentially boundary value problems. Some important and in...; 关键词：General Equations Lax-Milgram Lemma Auxiliary Principle Iterative Method Convergence

Intelligent Tutoring System of Linear Programming: 《Advances in Linear Algebra & Matrix Theory》2022年第2期39-66,共28页Amor Hasic Samed Jukic; There is a growing technological development in intelligent teaching systems. This field has become interesting to many researchers. In this paper, we present an intelligent tutoring system for teaching mathematics th...; 关键词：Intelligent Tutoring System MATHEMATICS Linear Program Solver Service for Solving Linear Programming Problems

Carleman Linearization and Systems of Arbitrary Depth Polynomial Recursions: 《Advances in Linear Algebra & Matrix Theory》2022年第1期1-23,共23页Mikołaj Myszkowski; New approach to systems of polynomial recursions is developed based on the Carleman linearization procedure. The article is divided into two main sections: firstly, we focus on the case of uni-variable depth-one polyn...; 关键词：Polynomial Recursion Carleman Linearization Transfer Matrices

A Compact Heart Iteration for Large Eigenvalues Problems: 《Advances in Linear Algebra & Matrix Theory》2022年第1期24-38,共15页Achiya Dax; In this paper, we present a compact version of the Heart iteration. One that requires less matrix-vector products per iteration and attains faster convergence. The Heart iteration is a new type of Restarted Krylov met...; 关键词：Large Sparse Matrices Restarted Krylov Methods Exterior Eigenvalues Symmetric Matrices MONOTONICITY Starting Vectors

Uniqueness of the Fredholm-Stiltjes Linear Integral Equations Solutions of the Third Kind: 《Advances in Linear Algebra & Matrix Theory》2021年第4期109-116,共8页Aizat Toigonbaeva Avyt Asanov Aisalkyn Kambarova Gumushai Obodoeva Ularbek Moldoyarov Aibek Toktorbaev Aichurok Abdukadyr Kyzy Zhypargul Abdullaeva; Integral equations theoretical parts and applications have been studied and investigated in previous works. In this work, results on investigations of the uniqueness of the Fredholm-Stiltjes linear integral equations ...; 关键词：Solution Integral Equations UNIQUENESS Fredholm-Stiltjes Linear Integral Equations Third Kind

Representations of Lie Groups被引量：1: 《Advances in Linear Algebra & Matrix Theory》2021年第4期117-134,共18页Amor Hasić; In this paper, the most important liner groups are classified. Those that we often have the opportunity to meet when studying linear groups as well as their application in left groups. In addition to the introductory ...; 关键词：ALGEBRAS GROUPS Lie Groups Lie Algebra

《Advances in Linear Algebra & Matrix Theory》