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Advances in Linear Algebra & Matrix Theory (ALAMT) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of Linear Algebra. All the m…
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 solutions of the third kind were considere…
Hongcai Yin, Huamin Zhang
Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, a convergence proof is offered. The necess…
Amor Hasić
This paper is made up of a desire for me to contribute to this beautiful field of mathematics that I have encountered in recent years. In addition, I would like to mention that I am not aware that there are papers in our Balkans on Lie algebra, although this…
Hsin-Chu Chen
In this paper, we present a unified approach to decomposing a special class of block tridiagonal matrices K ( α , β ) into block diagonal matrices using similarity transformations. The matrices K ( α , β )∈ R pq × pq are of the form K ( α , β = block-tridiag[…
Muhammad Aslam Noor, Khalida Inayat Noor
In this paper, we introduce and study some new classes of biconvex functions with respect to an arbitrary function and a bifunction, which are called the higher order strongly biconvex functions. These functions are nonconvex functions and include the biconve…
Volkan Aşkin, Şerife Büyükköse
The undirected power graph P ( Z n ) of a finite group Z n is the graph with vertex set G and two distinct vertices u and v are adjacent if and only if u ≠ v and or . The Wiener index W ( P ( Z n )) of an undirected power graph P ( Z n ) is defined to be sum…
Semiha Başdaş Nurkahlı, Şerife Büyükköse
In this study, the SK, SK 1 and SK 2 indices are defined on weighted graphs. Then, the SK, SK 1 and SK 2 indices are defined on interval weighted graphs. Their behaviors are investigated under some graph operations by using these definitions.
Mamoudou Amadou Bondabou, Ousmane Moussa Tessa, Amidou Morou
We use submultiplicative companion matrix norms to provide new bounds for roots for a given polynomial P ( X ) over the field C[ X ]. From a n × n Fiedler companion matrix C , sparse companion matrices and triangular Hessenberg matrices are introduced. Then,…
Balasubramani Prema Rangasamy
We know matrices and their transposes and we also know flip matrices. In my previous paper Matrices-One Review , I introduced transprocal matrix. Flip matrices are transpose of transprocal matrices. Now I would like to introduce water image of four matrices s…
Amor Hasić
This paper is made out of necessity as a doctoral student taking the exam from Lie groups. Using the literature suggested to me by the professor, I felt the need to, in addition to that literature, and since there was more superficial in that book with some r…
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Advances in Linear Algebra & Matrix Theory (ALAMT) is an openly accessible journal published quarterly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of Linear Algebra. All the m… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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