A classical system of matrix equations over the split quaternion algebra (Q6621354)

scientific article; zbMATH DE number 7928677

Language	Label	Description	Also known as
English	A classical system of matrix equations over the split quaternion algebra	scientific article; zbMATH DE number 7928677

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instance of

scholarly article

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title

A classical system of matrix equations over the split quaternion algebra (English)

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Advances in Applied Clifford Algebras

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publication date

18 October 2024

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zbMATH Keywords

split quaternion matrix equations

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real representation

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general solution

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On eigenvalues of split quaternion matrices

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On complex split quaternion matrices

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The spectral theorem in quaternions

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A new Sylvester-type quaternion matrix equation model for color image data transmission

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Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations

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SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E42

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The column and row immanants over a split quaternion algebra

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Cramer's rules for some Hermitian coquaternionic matrix equations

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Cramer's rules for Sylvester quaternion matrix equation and its special cases

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Cramer's rules of \(\eta \)-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations

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Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation

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The generalized reflexive solution for a class of matrix equations \( (AX=B, XC=D)\)

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The generalized anti-reflexive solutions for a class of matrix equations \((BX=C,XD=E)\)

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Q5431240

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The \(\eta \)-anti-Hermitian solution to some classic matrix equations

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On the split quaternion matrix equation \(AX=B\)

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Consistency of split quaternion matrix equations \(AX^{\star }-XB=CY+D\) and \(X-AX^\star B=CY+D\)

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Structure Preserving Quaternion Biconjugate Gradient Method

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Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F)

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The matrix equations \(AX=C\), \(XB=D\)

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On the eigenvalues and eigenvectors of a Lorentzian rotation matrix by using split quaternions

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Rotations with unit time-like quaternions in Minkowski 3-space

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The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).

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Q5645536

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Q3409209

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A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity

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Bisymmetric and centrosymmetric solutions to systems of real quaternion matrix equations

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Some matrix equations with applications†

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Constrained two-sided coupled Sylvester-type quaternion matrix equations

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A system of Sylvester-type quaternion matrix equations with ten variables

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The consistency and the general common solution to some quaternion matrix equations

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Least-squares solutions to the matrix equations \(AX = B\) and \(XC = D\)

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On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\)

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The generalized quaternion matrix equation AXB+CX⋆D=E

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Quaternions and matrices of quaternions

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Algebraic methods for least squares problem in split quaternionic mechanics

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The solution of the matrix equation \(AXB=D\) and The system of matrix equations \(AX=C\), \(XB=D\) with \(X^*X=I_p\)

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Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00006-024-01348-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:6621354