Search
Search Results
-
2021-2022 MATRIX Annals
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances...
-
Matrix Algebra
The need to understand matrix algebra in the context of underlying applications is paramount. Rank one projections are the building tools and they...
-
Matrix and Operator Equations and Applications
This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and...
-
Matrix Equations
This chapter concentrates on solving the matrix equation $$\textbf{A}\textbf{x} =...
-
Matrix Approximation by a Sum of Matrix Products
In this paper, we consider solutions of the problems related to the modelling of data transmission systems. Mathematically, the problem is formulated...
-
On the Resolvent Matrix of the Truncated Hausdorff Matrix Moment Problem
We obtain the resolvent matrix of the truncated Hausdorff matrix moment (THMM) problem on the interval [ a , b ] in case of an even and odd number of...
-
Iterative methods based on low-rank matrix for solving the Yang–Baxter-like matrix equation
We propose an effective matrix iteration method and a novel zeroing neural network (NZNN) model for finding numerical commuting solutions of the...
-
A Note on the Matrix Moment Problem and its Relation with Matrix Biorthogonal Polynomials
In this manuscript, we study the operator moment problem for a block tridiagonal non-symmetric matrix. To study this problem, we used the relation...
-
Explicit Formulas for the Matrix Logarithm and the Principal Matrix Logarithm
AbstractWe present new closed-form formulas for the matrix logarithm. Our method is direct and elementary, and it gives tractable and manageable...
-
A new extension of generalized Pascal-type matrix and their representations via Riordan matrix
The algebraic approach based on Pascal matrices is important in many fields of mathematics, ranging from algebraic geometry to optimization, matrix...
-
-
Matrix Laplace transform
The article develops operational calculus based on a differential operator with piecewise constant matrix coefficients. The core of a matrix Laplace...
-
Geometry of Linear Matrix Inequalities A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization
This textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and...
-
Introduction to Matrix Factorizations
This chapter introduces the basic concepts of Gaussian elimination and its formulation as a matrix factorization that can be expressed in a number of...
-
Multiresolution kernel matrix algebra
We propose a sparse algebra for samplet compressed kernel matrices to enable efficient scattered data analysis. We show that the compression of...
-
Adequate Properties of Matrix Divisors
Adequate rings and, in particular, adequate elements appear as a generalization of principal ideal rings in the investigation of the problem of...
-
The Vandermonde Matrix in the Commutative Case
AbstractIn a complex Banach algebra, under the assumptions of separateness and spectral separateness, invertibility conditions for the Vandermonde...
-
On the Probability of Generating a Primitive Matrix
Given a k × n integer primitive matrix
A (i.e., a matrix can be extended to an n × n unimodular matrix over the integers) with the maximal absolute... -
Matrix Weighted Kolmogorov–Riesz’s Compactness Theorem
In this paper, several versions of the Kolmogorov–Riesz compactness theorem in weighted Lebesgue spaces with matrix weights are obtained. In...
-
Elementary Operations and Matrix Invariants
In the previous chapter, we learned the matrix representation \(\boldsymbol{A}\)...