Found 50 Documents (Results 1–50)
Generalized Munn rings. (English) Zbl 1516.16022
Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices. (English) Zbl 1482.15016
Reviewer: Hassan Issa (Beirut)
Inexact block SSOR-like preconditioners for non-Hermitian positive definite linear systems of strong Hermitian parts. (English) Zbl 1469.65072
Determinantal representations of solutions to systems of two-sided quaternion matrix equations. (English) Zbl 1468.15009
Reviewer: Ali Morassaei (Zanjan)
Elementary transformation and its applications for split quaternion matrices. (English) Zbl 1432.15020
Decomposition of symplectic matrices into products of symplectic unipotent matrices of index 2. (English) Zbl 1431.15009
Determinantal representations of the quaternion core inverse and its generalizations. (English) Zbl 1436.15004
Reviewer: Kamran Sharifi (Shahrood)
A recursive approach for determining matrix inverses as applied to causal time series processes. (English) Zbl 1427.62106
Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation. (English) Zbl 1474.15041
Cramer’s rule for a system of quaternion matrix equations with applications. (English) Zbl 1427.15019
Hermitizable, isospectral complex matrices or differential operators. (English) Zbl 1415.15035
Reviewer: Jonathan Rohleder (Stockholm)
Determinantal expression of the general solution to a restricted system of quaternion matrix equations with applications. (English) Zbl 1394.15009
New results on condensed Cramer’s rule for the general solution to some restricted quaternion matrix equations. (English) Zbl 1360.65129
Reviewer: Constantin Popa (Constanţa)
Every \(2n\)-by-\(2n\) complex matrix is a sum of three symplectic matrices. (English) Zbl 1355.15010
Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field. (English) Zbl 1410.15009
Cramer’s rules for various solutions to some restricted quaternionic linear systems. (English) Zbl 1318.15001
Reviewer: Andreas Arvanitoyeorgos (Patras)
A real representation method for solving Yakubovich-\(j\)-conjugate quaternion matrix equation. (English) Zbl 1469.65081
Bott-Duffin inverse over the quaternion skew field with applications. (English) Zbl 1298.15011
Reviewer: Jorma K. Merikoski (Tampere)
Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations. (English) Zbl 1255.15022
Determinantal representations of the generalized inverses \(A_{T,S}^{(2)}\) over the quaternion skew field with applications. (English) Zbl 1295.15004
Determinantal representation of the generalized inverses over the quaternion skew field with applications. (English) Zbl 1302.15007
MSC:
15A09
Condensed Cramer rule for some restricted quaternion linear equations. (English) Zbl 1248.15016
Reviewer: Grozio Stanilov (Sofia)
Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field. (English) Zbl 1217.15020
Determinantal representations of the Moore-Penrose inverse over the quaternion skew field and corresponding Cramer’s rules. (English) Zbl 1220.15007
Reviewer: Grozio Stanilov (Sofia)
Cramer’s rule for some quaternion matrix equations. (English) Zbl 1205.15026
Reviewer: Sheng Chen (Harbin)
Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations. (English) Zbl 1195.47036
Reviewer: Dumitru Motreanu (Perpignan)
Cramer’s rule for quaternionic systems of linear equations. (English. Russian original) Zbl 1157.15308
J. Math. Sci., New York 155, No. 6, 839-858 (2008); translation from Fundam. Prikl. Mat. 13, No. 4, 67-94 (2007).
Similarity reduction of matrix over a quaternion division ring. (English) Zbl 1128.15009
Reviewer: Grosio Stanilov (Sofia)
On the solutions of tridiagonal linear systems. (English) Zbl 1122.65315
Reviewer: José Vitória (Coimbra)
Adjacency preserving bijection maps of Hermitian matrices over any division ring with an involution. (English) Zbl 1106.14034
Reviewer: Alan Koch (Decatur)
Determinants and multiplicative functionals on quaternion matrices. (English) Zbl 1031.15007
Reviewer: Chen Zhijie (Shanghai)
Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables. (English) Zbl 1033.15013
Reviewer: A. A. Bogush (Minsk)
Solvability of a quaternion matrix equation. (English) Zbl 1020.15014
Reviewer: Vladimir P.Kostov (Nice)
Consimilarity of quaternion matrices and complex matrices. (English) Zbl 0982.15019
Reviewer: José Vitória (Coimbra)
The explicit solutions and solvability of linear matrix equations. (English) Zbl 0958.15008
Reviewer: Václav Burjan (Praha)
The double determinant of Vandermonde’s type over quaternion field. (English) Zbl 0953.15011
Reviewer: Philippe Elbaz-Vincent (Montpellier)
On extending real functions to finite dimensional algebras. (English) Zbl 0942.15018
Reviewer: J.Zemánek (Warszawa)
Products of commutators of dilatations. (English) Zbl 0933.15020
Reviewer: Chen Zhijie (Shanghai)
MSC:
15A23
Quaternions and matrices of quaternions. (English) Zbl 0873.15008
Reviewer: W.Wiȩsław (Wrocław)
MSC:
15B33
Jordan canonical forms of matrices over quaternion field. (English) Zbl 0881.15018
Reviewer: Wolfgang Sproessig (Freiberg)
Quaternionic determinants. (English) Zbl 0881.15007
Reviewer: K.Burian (Havířov)
Canonical equiaffine hypersurfaces in \(\mathbb{R}^{n+1}\). (English) Zbl 0797.53004
Reviewer: U.Simon (Berlin)
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