✦ LIBER ✦

Generalized diagonalization of matrices over quaternion field

✍ Scribed by Jiang Tongsong; Chen Li

Publisher: Springer
Year: 1999
Tongue: English
Weight: 298 KB
Volume: 20
Category: Article
ISSN: 0253-4827
DOI: 10.1007/bf02463800

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Jordan canonical forms of matrices over

Jordan canonical forms of matrices over quaternion field

✍ Chen Longxuan; Hou Renmin; Wang Liangtao 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 410 KB

## JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD'* Chen Longxuan (l~,)~.~) ~ Hot! Renrnin ({~{\_~)' Wang Liangtao (.T:.;)~)' (.Received March 3 I, 1995, Revised Nov. 24, i995; Communicated by Chien Weizang)

Hadamard matrices of generalized quatern

Hadamard matrices of generalized quaternion type

✍ Mieko Yamada 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 525 KB

Yamada, M., Hadamard matrices of generalized quaternion type, Discrete Mathematics 87 (1991) 187-196. Let G be a semi-direct product of a cyclic group of an odd order by a generalized quaternion group Q,. We consider the ring % obtained from the group ring ZG by identifying the elements f 1 in the c

Diagonalization of matrices over regular

Diagonalization of matrices over regular rings

✍ P. Ara; K.R. Goodearl; K.C. O'Meara; E. Pardo 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 725 KB

Square matrices are shown to be diagonalizable over all known classes of (von Neumann) regular rings. This diagonalizability is equivalent to a cancellation property for finitely generated projective modules which conceivably holds over all regular rings. These results are proved in greater generali

Generalized inverses of matrices over a

Generalized inverses of matrices over a finite field

✍ John D. Fulton 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 657 KB

For a given m X n matrix A of rank I ov+r a finite field F, the number of generalized invers:s, of reflexive generalized inverses, of normalized generalized inverses, and of pseudoinverses of A are derermined by elementary methods. The more dticult problem of determining which m X n matrices A of ra

Diagonalization, rank calculation and ge

Diagonalization, rank calculation and generalized inverses of rational matrices

✍ Michael G. Strintzis 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 857 KB

Diagonability of idempotent matrices ove

Diagonability of idempotent matrices over noncommutative rings

✍ Guangtian Song; Xuejun Guo 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 83 KB

Let R be an arbitrary ring. In this paper, the following statements are proved: (a) Each idempotent matrix over R can be diagonalized if and only if each idempotent matrix over R has a characteristic vector. (b) An idempotent matrix over R can be diagonalized under a similarity transformation if and