Polarimetric Analysis Using the Algebraic Real Representation of the Scattering Matrix
2021 IEEE International Geoscience and Remote Sensing Symposium IGARSS, 2021 Equivalent matrix representations in radar polarimetry have long been studied and used as tools for modeling and understanding the scattering mechanisms.
Madalina Ciuca +4 more
semanticscholar +1 more source
Generalization of Roth's solvability criteria to systems of matrix equations [PDF]
, 2017 W.E. Roth (1952) proved that the matrix equation $AX-XB=C$ has a solution if and only if the matrices $\left[\begin{matrix}A&C\\0&B\end{matrix}\right]$ and $\left[\begin{matrix}A&0\\0&B\end{matrix}\right]$ are similar. A. Dmytryshyn and B. K{\aa}gstr\"om
Dmytryshyn, Andrii +3 more
core +3 more sources
A Real Representation Method for Solving Yakubovich‐j‐Conjugate Quaternion Matrix Equation
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 A new approach is presented for obtaining the solutions to Yakubovich‐j‐conjugate quaternion matrix equation X−AX∧B=CY based on the real representation of a quaternion matrix. Compared to the existing results, there are no requirements on the coefficient matrix A.
Caiqin Song +4 more
wiley +1 more source
Positive Definite Solutions of the Nonlinear Matrix Equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ [PDF]
, 2012 This paper is concerned with the positive definite solutions to the matrix equation $X+A^{\mathrm{H}}\bar{X}^{-1}A=I$ where $X$ is the unknown and $A$ is a given complex matrix.
Cai, Guang-Bin, Lam, James, Zhou, Bin
core +2 more sources
A New Solution to the Matrix Equation X−AX¯B=C
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 We investigate the matrix equation X−AX¯B=C. For convenience, the matrix equation X−AX¯B=C is named as Kalman‐Yakubovich‐conjugate matrix equation. The explicit solution is constructed when the above matrix equation has unique solution. And this solution is stated as a polynomial of coefficient matrices of the matrix equation.
Caiqin Song, Kaleem R. Kazmi
wiley +1 more source
Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras [PDF]
, 2017 For each two-dimensional vector space $V$ of commuting $n\times n$ matrices over a field $\mathbb F$ with at least 3 elements, we denote by $\widetilde V$ the vector space of all $(n+1)\times(n+1)$ matrices of the form $\left[\begin{smallmatrix}A&*\\0&0 ...
Futorny, Vyacheslav +3 more
core +3 more sources
On the Gersgorin Theorem applied to Radar Polarimetry [PDF]
, 2007 This contribution is concerned with the mathematical formulation and theoretical background of the ...
Boerner, Wolfgang-Martin +2 more
core +1 more source
RNA‐Based Assessment of Diversity and Composition of Active Archaeal Communities in the German Bight
Archaea, Volume 2012, Issue 1, 2012., 2012 Archaea play an important role in various biogeochemical cycles. They are known extremophiles inhabiting environments such as thermal springs or hydrothermal vents. Recent studies have revealed a significant abundance of Archaea in moderate environments, for example, temperate sea water.
Bernd Wemheuer +3 more
wiley +1 more source
On the Solutions of Some Linear Complex Quaternionic Equations [PDF]
, 2014 Some complex quaternionic equations in the type AX-XB= C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases.
Bolat, Cennet, İpek, Ahmet
core +4 more sources
Geometric polarimetry - part II: the Antenna Height Spinor and the Bistatic Scattering Matrix [PDF]
, 2017 This paper completes the fundamental development of the basic coherent entities in Radar Polarimetry for coherent reciprocal scattering involving polarized wave states, antenna states and scattering matrices. The concept of antenna polarization states as
Bebbington, David, Carrea, Laura
core +1 more source