Keywords: ماتریکس Quaternion; Quaternion matrix; Quaternion right eigenvalue problem; Power method; Inverse power method;
مقالات ISI ماتریکس Quaternion (ترجمه نشده)
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Keywords: ماتریکس Quaternion; primary; 15B52; 60F15; 62E20; secondary; 60F17; Central limit theorem; Quaternion matrix; β-ensemble; Large dimension; Linear spectral statistics; Random matrix theory;
Keywords: ماتریکس Quaternion; Quaternion; Split quaternion; Quaternion matrix;
Keywords: ماتریکس Quaternion; Weighted singular value decomposition; Weighted Moore-Penrose inverse; Quaternion matrix; Cramer rule; System linear equation; Noncommutative determinant;
Keywords: ماتریکس Quaternion; Matrix equation; General solution; Quaternion matrix; Moore-Penrose inverse; Rank; 15A24; 15A09; 11R52; 15B57;
Keywords: ماتریکس Quaternion; Matrix equation; Drazin inverse solution; Drazin inverse; Quaternion matrix; Cramer rule; Column determinant
Cramer's rule for a system of quaternion matrix equations with applications
Keywords: ماتریکس Quaternion; Quaternion matrix; Cramer's rule; Matrix equations; Determinant; 15A09; 15A24;
Real structure-preserving algorithms of Householder based transformations for quaternion matrices
Keywords: ماتریکس Quaternion; Quaternion matrix; Householder based transformation; Real structure-preserving algorithm; QQR; QSVD
Consimilarity of quaternions and coneigenvalues of quaternion matrices
Keywords: ماتریکس Quaternion; Consimilarity; Coneigenvalue; Coneigenvector; Quaternion matrix; Real representation15A04; 15A21
Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field
Keywords: ماتریکس Quaternion; W-weighted Drazin inverse; Quaternion matrix; Column determinant; Row determinant15A09; 15B33
Solution to a system of real quaternion matrix equations encompassing η-Hermicity
Keywords: ماتریکس Quaternion; Linear matrix equation; η-Hermitian solution; Quaternion matrix; Moore–Penrose inverse; Rank; General solution15A24; 15A09; 11R52; 15B57
An algebraic method for quaternion and complex Least Squares coneigen-problem in quantum mechanics
Keywords: ماتریکس Quaternion; Least Squares coneigen-problem; Coneigenvalue; Complex representation; Real representation; Quaternion matrix;
A fast structure-preserving method for computing the singular value decomposition of quaternion matrices
Keywords: ماتریکس Quaternion; Quaternion matrix; Quaternion singular value decomposition; Structure-preserving algorithm
Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations
Keywords: ماتریکس Quaternion; 15A15; 16W10; Matrix equation; Least squares solution; Moore-Penrose generalized inverse; Quaternion matrix; Cramer rule; Column determinant; Row determinant;
A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory
Keywords: ماتریکس Quaternion; Quaternion matrix; LU decomposition; Structure-preserving algorithm
A structure-preserving algorithm for the quaternion Cholesky decomposition
Keywords: ماتریکس Quaternion; Quaternion matrix; Cholesky decomposition; Structure-preserving algorithm
On j-conjugate product of quaternion polynomial matrices
Keywords: ماتریکس Quaternion; j-Conjugate product; Quaternion matrix; Conequivalence; Consimilarity
Determinantal representation of the generalized inverses over the quaternion skew field with applications
Keywords: ماتریکس Quaternion; Quaternion matrix; Cramer rule; Generalized inverse AT,S(2);
Color face recognition based on quaternion matrix representation
Keywords: ماتریکس Quaternion; Color face recognition; Quaternion matrix; Principal component analysis; Bidirection PCA; Overfitting
Condensed Cramer rule for some restricted quaternion linear equations
Keywords: ماتریکس Quaternion; Quaternion matrix; Cramer rule; Generalized inverse AT,S(2)
Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field
Keywords: ماتریکس Quaternion; Quaternion matrix; Cramer rule; Generalized inverse AT,S(2)
Estimate for the lower bound of rank and the upper bound of eigenvalues norms’ sum of given quaternion matrix
Keywords: ماتریکس Quaternion; Quaternion matrix; Rank; Lower bound; Eigenvalue; Upper bound
Hermitian tridiagonal solution with the least norm to quaternionic least squares problem
Keywords: ماتریکس Quaternion; Quaternion matrix; Quaternionic least squares; Hermitian tridiagonal matrix; LSQR; Preconditioning
An algebraic method for Schrödinger equations in quaternionic quantum mechanics
Keywords: ماتریکس Quaternion; Schrödinger equation; Quaternion matrix; Least Squares eigenproblem; Quaternionic quantum mechanics
P-(skew)symmetric common solutions to a pair of quaternion matrix equations
Keywords: ماتریکس Quaternion; Quaternion matrix; Moore–Penrose inverse; System of matrix equations; P-symmetric matrix; P-skewsymmetric matrix
The common solution to six quaternion matrix equations with applications
Keywords: ماتریکس Quaternion; Quaternion field; Quaternion matrix; The system of matrix equations; Generalized inverse of a matrix; Symmetric matrix; Persymmetric matrix; Centrosymmetric matrix;
Algebraic algorithms for least squares problem in quaternionic quantum theory
Keywords: ماتریکس Quaternion; 02.10.Yn; 03.65.Fd; 04.25.NxLeast squares; Quaternion matrix; Algorithm; Quaternionic quantum theory