Results 191 to 200 of about 30,222 (232)

Conditions of commutativity of transfer matrices on a multidimensional lattice

Theoretical and Mathematical Physics(Russian Federation), 1982
V. Bazhanov, Y. Stroganov
semanticscholar   +3 more sources

Linear maps on matrices preserving commutativity up to a factor

Linear and Multilinear Algebra, 2009
L. Molnár
semanticscholar   +3 more sources

Commutativity in Finite Matrices

American Mathematical Monthly, 1957
O. Taussky
semanticscholar   +5 more sources

Commutativity of quaternion‐matrix–valued functions and quaternion matrix dynamic equations on time scales

Studies in applied mathematics (Cambridge), 2020
In this paper, we obtain some basic results of quaternion algorithms and quaternion calculus on time scales. Based on this, a Liouville formula and some related properties are derived for quaternion dynamic equations on time scales through conjugate ...
Zhien Li, Chao Wang, R. Agarwal, D. O’Regan   +3 more
semanticscholar   +1 more source

Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations

Numerical Functional Analysis and Optimization, 2022
The dual quaternion matrix is an important and powerful tool for the study of multi-agent formation control. However, many basic properties of dual quaternion matrices are still not studied, due to the difficulty incurred by the non-commutativity of ...
C. Ling, Hongjin He, Liqun Qi
semanticscholar   +1 more source

On Joint Eigenvalues of Commuting Matrices

Canadian Mathematical Bulletin, 1996
AbstractA spectral radius formula for commuting tuples of operators has been proved in recent years. We obtain an analog for all the joint eigenvalues of a commuting tuple of matrices. For a single matrix this reduces to an old result of Yamamoto.
Bhatia, Rajendra, Elsner, Ludwig
openaire   +3 more sources

Core and strongly core orthogonal matrices

Linear and multilinear algebra, 2021
In this paper, we define two new concepts for a pair of complex square matrices of the index at most 1, the core orthogonal pair and strongly core orthogonal pair. The relationship between core orthogonality (resp.
D. E. Ferreyra, S. Malik
semanticscholar   +1 more source

HLPK and Sherman-type theorems for Schur complement of matrices

The Electronic Journal of Linear Algebra
In this paper, by using majorization relations for tuples of matrices and of linear operations, some operator versions of Hardy-Littlewood-Pólya-Karamata and Sherman theorems for Schur complements of positive definite matrices are established.
Marek Niezgoda
semanticscholar   +1 more source

On Laplacian Commutativity of Graphs

Malaysian journal of mathematical sciences
This paper introduces the notion of Laplacian commutativity of graphs among well known classes of graphs. Two graphs are Laplacian commutative if their Laplacian matrices commute.
S. Nithya, P. Kuttipulackal
semanticscholar   +1 more source

Determinants of Commuting-Block Matrices

The American Mathematical Monthly, 1999
(1999). Determinants of Commuting-Block Matrices. The American Mathematical Monthly: Vol. 106, No. 10, pp. 950-952.
Istvan Kovacs, Daniel S. Silver, Susan G. Williams   +2 more
openaire   +1 more source