Add to ORKGWe discuss the ͑right͒ eigenvalue equation for H, C and R linear quaternionic operators. The possibility to introduce an isomorphism between these operators and real/complex matrices allows us to translate the quaternionic problem into an equivalent real or complex counterpart. Interesting applications are found in solving differential equations within quaternionic formulations of quantum mechanics
We give a brief survey on quaternions and matrices of quaternions, present new proofs for certain kn...
AbstractWe give a brief survey on quaternions and matrices of quaternions, present new proofs for ce...
AbstractIn this paper, we consider the system of matrix equations, A1X = C1, A2X = C2, A3XB3 = C3, a...
We discuss the (right) eigenvalue equation for H, C and R linear quaternionic operators. The possibi...
We study the right eigenvalue equation for quaternionic and complex linear matrix operators defined ...
The renewed interest in searching for quaternionic deviations of standard (complex) quantum mechanic...
AbstractThis paper aims to set an account of the left eigenvalue problems for real quaternionic (fin...
AbstractThe renewed interest in searching for quaternionic deviations of standard (complex) quantum ...
This paper aims to set an account of the left eigenvalue problems for real quaternionic (finite) mat...
This paper considers non-Hermitian matrices as well. Throughout, the real numbers are denoted by R, ...
This article is a continuation of the article [F. Zhang, Geršgorin type theorems for quaternionic ma...
In two recent publications [1], [2] it was shown that for matrices of (real) quaternion elements an ...
AbstractIn this paper, we introduce the concept of left and right eigenvalues for a quaternionic mat...
We establish necessary and sufficient conditions for the existence of and the expressions for the ge...
AbstractWe apply the Lefschetz Fixed Point Theorem to show that every square matrix over the quatern...
We give a brief survey on quaternions and matrices of quaternions, present new proofs for certain kn...
AbstractWe give a brief survey on quaternions and matrices of quaternions, present new proofs for ce...
AbstractIn this paper, we consider the system of matrix equations, A1X = C1, A2X = C2, A3XB3 = C3, a...
We discuss the (right) eigenvalue equation for H, C and R linear quaternionic operators. The possibi...
We study the right eigenvalue equation for quaternionic and complex linear matrix operators defined ...
The renewed interest in searching for quaternionic deviations of standard (complex) quantum mechanic...
AbstractThis paper aims to set an account of the left eigenvalue problems for real quaternionic (fin...
AbstractThe renewed interest in searching for quaternionic deviations of standard (complex) quantum ...
This paper aims to set an account of the left eigenvalue problems for real quaternionic (finite) mat...
This paper considers non-Hermitian matrices as well. Throughout, the real numbers are denoted by R, ...
This article is a continuation of the article [F. Zhang, Geršgorin type theorems for quaternionic ma...
In two recent publications [1], [2] it was shown that for matrices of (real) quaternion elements an ...
AbstractIn this paper, we introduce the concept of left and right eigenvalues for a quaternionic mat...
We establish necessary and sufficient conditions for the existence of and the expressions for the ge...
AbstractWe apply the Lefschetz Fixed Point Theorem to show that every square matrix over the quatern...
We give a brief survey on quaternions and matrices of quaternions, present new proofs for certain kn...
AbstractWe give a brief survey on quaternions and matrices of quaternions, present new proofs for ce...
AbstractIn this paper, we consider the system of matrix equations, A1X = C1, A2X = C2, A3XB3 = C3, a...