-
3
-
-
85030048141
-
A short proof of a theorem on the range of a normal quaternionic matrix
-
to appear
-
Y. H. Au-Yeung, A short proof of a theorem on the range of a normal quaternionic matrix, Linear and Multilinear Algebra, to appear.
-
Linear and Multilinear Algebra
-
-
Au-Yeung, Y.H.1
-
5
-
-
0039150162
-
On the convexity of numerical range in quaternionic Hilbert spaces
-
Y. H. Au-Yeung, On the convexity of numerical range in quaternionic Hilbert spaces, Linear and Multilinear Algebra 16:93-100 (1984).
-
(1984)
Linear and Multilinear Algebra
, vol.16
, pp. 93-100
-
-
Au-Yeung, Y.H.1
-
8
-
-
84972494460
-
Matrices of quaternions
-
J. L. Brenner, Matrices of quaternions, Pacific J. Math. 1:329-335 (1951).
-
(1951)
Pacific J. Math.
, vol.1
, pp. 329-335
-
-
Brenner, J.L.1
-
10
-
-
85030047057
-
The numerical radius of real quaternion matrix
-
also see MR 89k:15031
-
C. G. Cao, The numerical radius of real quaternion matrix. J. Xinjiang Univ. 7, No. 2 (1990); also see MR 89k:15031.
-
(1990)
J. Xinjiang Univ.
, vol.7
, Issue.2
-
-
Cao, C.G.1
-
11
-
-
84950385692
-
Definition of determinant and Cramer solutions over the quaternion field
-
L. X. Chen, Definition of determinant and Cramer solutions over the quaternion field, Acta Math. Sinica N. S. 7(2):171-180 (1991).
-
(1991)
Acta Math. Sinica N. S.
, vol.7
, Issue.2
, pp. 171-180
-
-
Chen, L.X.1
-
12
-
-
0038983580
-
The extension of Cayley-Hamilton theorem over the quaternion field
-
L. X. Chen, The extension of Cayley-Hamilton theorem over the quaternion field, Chinese Sci. Bull. 17:1291-1293 (1991).
-
(1991)
Chinese Sci. Bull.
, vol.17
, pp. 1291-1293
-
-
Chen, L.X.1
-
13
-
-
0001097532
-
Inverse matrix and properties of double determinant over quaternion field
-
L. X. Chen, Inverse matrix and properties of double determinant over quaternion field, Sci. China Ser. A 34(5):528-540 (1991).
-
(1991)
Sci. China Ser. A
, vol.34
, Issue.5
, pp. 528-540
-
-
Chen, L.X.1
-
14
-
-
0003864340
-
-
London Math. Soc. Lecture Note Ser. 27, Cambridge U.P.
-
P. M. Cohn, Skew Field Constructions, London Math. Soc. Lecture Note Ser. 27, Cambridge U.P., 1977.
-
(1977)
Skew Field Constructions
-
-
Cohn, P.M.1
-
15
-
-
0011635709
-
The similarity reduction of matrices over a skew field
-
P. M. Cohn, The similarity reduction of matrices over a skew field, Math. Z. 132:151-163 (1973).
-
(1973)
Math. Z.
, vol.132
, pp. 151-163
-
-
Cohn, P.M.1
-
16
-
-
84966210624
-
The "fundamental theorem of algebra" for quaternions
-
S. Eilenberg and I. Niven, The "fundamental theorem of algebra" for quaternions, Bull. Amer. Math. Soc. 50:246-248 (1944).
-
(1944)
Bull. Amer. Math. Soc.
, vol.50
, pp. 246-248
-
-
Eilenberg, S.1
Niven, I.2
-
18
-
-
36849133502
-
Foundations of quaternion quantum mechanics
-
D. Finkelstein, J. M. Jauch, S. Schiminovich, and D. Speiser, Foundations of quaternion quantum mechanics, J. Math. Phys., 1962, pp. 3207-3220.
-
(1962)
J. Math. Phys.
, pp. 3207-3220
-
-
Finkelstein, D.1
Jauch, J.M.2
Schiminovich, S.3
Speiser, D.4
-
19
-
-
1642428158
-
Notes on quaternion quantum mechanics
-
D. Finkelstein, J. M. Jauch, and D. Speiser, Notes on quaternion quantum mechanics, CERN 59(9):59-17 (1959).
-
(1959)
CERN
, vol.59
, Issue.9
, pp. 59-117
-
-
Finkelstein, D.1
Jauch, J.M.2
Speiser, D.3
-
26
-
-
84966204073
-
On the equation χα = γχ + β over an algebraic division ring
-
R. E. Johnson, On the equation χα = γχ + β over an algebraic division ring, Bull. Amer. Math. Soc. 50:202-207 (1944).
-
(1944)
Bull. Amer. Math. Soc.
, vol.50
, pp. 202-207
-
-
Johnson, R.E.1
-
27
-
-
84979313334
-
Über der wertevorrat einer matrix
-
R. Von Kippenhahn, Über der Wertevorrat einer Matrix, Math. Nachr. 6(3/4): 193-228 (1951).
-
(1951)
Math. Nachr.
, vol.6
, Issue.3-4
, pp. 193-228
-
-
Von Kippenhahn, R.1
-
29
-
-
0001430021
-
Eigenvalues of canonical forms of matrices with quaternion coefficients
-
Sect. A
-
H. C. Lee, Eigenvalues of canonical forms of matrices with quaternion coefficients, Proc. R.I. A. 52, Sect. A (1949).
-
(1949)
Proc. R.I. A.
, vol.52
-
-
Lee, H.C.1
-
30
-
-
0000631613
-
Determinants of quaternion matrices
-
M. L. Mehta, Determinants of quaternion matrices, J. Math. Phys. Sci. 8, No. 6 (1974).
-
(1974)
J. Math. Phys. Sci.
, vol.8
, Issue.6
-
-
Mehta, M.L.1
-
31
-
-
85030052114
-
Hamilton and Jacobi meet again: Quaternions and the eigenvalue problem
-
to appear
-
N. Mackey, Hamilton and Jacobi meet again: Quaternions and the eigenvalue problem, SIAM J. Matrix Anal. Appl., to appear.
-
SIAM J. Matrix Anal. Appl.
-
-
Mackey, N.1
-
32
-
-
0000003348
-
Equations in quaternions
-
I. Niven, Equations in quaternions, Amer. Math. Monthly 48:654-661 (1995).
-
(1995)
Amer. Math. Monthly
, vol.48
, pp. 654-661
-
-
Niven, I.1
-
37
-
-
0043198841
-
Normal operators on quaternionic Hilbert spaces
-
K. Viswanath, Normal operators on quaternionic Hilbert spaces, Trans. Amer. Math. Soc. 162 (1971).
-
(1971)
Trans. Amer. Math. Soc.
, pp. 162
-
-
Viswanath, K.1
-
39
-
-
56349105118
-
Similarity of matrices in which the elements are real quaternions
-
L. A. Wolf, Similarity of matrices in which the elements are real quaternions, Bull. Amer. Math. Soc. 42:737-743 (1936).
-
(1936)
Bull. Amer. Math. Soc.
, vol.42
, pp. 737-743
-
-
Wolf, L.A.1
-
40
-
-
0011426393
-
Some theorems on matrices with real quaternion elements
-
N. A. Wiegmann, Some theorems on matrices with real quaternion elements, Canad. J. Math. 7:191-201 (1955).
-
(1955)
Canad. J. Math.
, vol.7
, pp. 191-201
-
-
Wiegmann, N.A.1
-
41
-
-
0011469689
-
Quaternionic eigenvalues
-
R. M. W. Wood, Quaternionic eigenvalues, Bull. London Math. Soc. 17:137-138 (1985).
-
(1985)
Bull. London Math. Soc.
, vol.17
, pp. 137-138
-
-
Wood, R.M.W.1
-
42
-
-
85030053511
-
An extension of Hadamard's theorem over the skew field of quaternions
-
also see MR 83g:15014
-
B. J. Xie, An extension of Hadamard's theorem over the skew field of quaternions, Sci. Sinica, Special Issue I on Math., pp. 88-93 (1970); also see MR 83g:15014.
-
(1970)
Sci. Sinica, Special Issue I on Math.
, pp. 88-93
-
-
Xie, B.J.1
-
43
-
-
0040761810
-
Applications of characteristic roots and standard forms of matrices over a skew field
-
also see MR 82m:15021
-
B. J. Xie, Applications of characteristic roots and standard forms of matrices over a skew field, Acta Math. Sinica 23(4):522-533 (1980); also see MR 82m:15021.
-
(1980)
Acta Math. Sinica
, vol.23
, Issue.4
, pp. 522-533
-
-
Xie, B.J.1
-
44
-
-
0038983578
-
Existence theorems for the canonical diagonal form and the weak canonical form of characteristic matrices over a skew field
-
also see MR 82k:15015
-
B. J. Xie, Existence theorems for the canonical diagonal form and the weak canonical form of characteristic matrices over a skew field, Acta Math. Sinica 23(3):398-410 (1980); also see MR 82k:15015.
-
(1980)
Acta Math. Sinica
, vol.23
, Issue.3
, pp. 398-410
-
-
Xie, B.J.1
-
45
-
-
0038387573
-
An expansion theorem for determinants of self-adjoint quaternion matrices and its applications
-
also see MR 83a:15007
-
B. J. Xie, An expansion theorem for determinants of self-adjoint quaternion matrices and its applications, Acta Math. Sinica 23(5):668-683 (1980); also see MR 83a:15007.
-
(1980)
Acta Math. Sinica
, vol.23
, Issue.5
, pp. 668-683
-
-
Xie, B.J.1
-
46
-
-
85030036851
-
Several theorems concerning self-conjugate matrices and determinants of quaternions
-
also see MR 84c:15022
-
B. J. Xie, Several theorems concerning self-conjugate matrices and determinants of quaternions, Acta Sci. Natur. Univ. Jilin, No. 1, pp. 1-7 (1982); also see MR 84c:15022.
-
(1982)
Acta Sci. Natur. Univ. Jilin
, Issue.1
, pp. 1-7
-
-
Xie, B.J.1
-
48
-
-
0040167698
-
On numerical range of normal matrices of quaternions
-
F. Zhang, On Numerical Range of Normal Matrices of Quaternions, J. Math. Physical Sciences, 29(6):235-251 (1995).
-
(1995)
J. Math. Physical Sciences
, vol.29
, Issue.6
, pp. 235-251
-
-
Zhang, F.1
|