• 検索結果がありません。

THE EXPLICIT REPRESENTATIONS OF THE DRAZIN INVERSES OF A CLASS OF BLOCK MATRICES

N/A
N/A
Info
ダウンロード
Protected

Academic year: 2022

シェア "THE EXPLICIT REPRESENTATIONS OF THE DRAZIN INVERSES OF A CLASS OF BLOCK MATRICES"

Copied!
1
0
0

読み込み中.... (全文を見る)

今ダウンロードする ( 1 ページ )

全文

(1)

ELA

THE EXPLICIT REPRESENTATIONS OF THE DRAZIN INVERSES OF A CLASS OF BLOCK MATRICES

∗

CHANGJIANG BU† AND KUIZE ZHANG†

Abstract. Let M = A BC D

be a 2×2 block matrix, where ABC= 0 and eitherDC = 0 or BD = 0. This paper gives the explicit representations ofMD in terms of A, B, C, D, AD,(BC)D andDD.

Key words. Block matrix, Drazin inverse, Index.

AMS subject classifications.15A09, 65F20.

∗Received by the editors April 17, 2009. Accepted for publication July 22, 2010. Handling Editor:

Michael Neumann.

†Dept. of Applied Math., College of Science, Harbin Engineering University, Harbin 150001, P. R.

China ([email protected], [email protected]). Supported by Natural Science Foundation of the Heilongjiang province, No.159110120002.

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 20, pp. 406-418, July 2010

http://math.technion.ac.il/iic/ela

参照

今ダウンロードする ( PDF - 1 ページ - 26.72 KB )

関連したドキュメント

The Chemical Society of Japan

[r]

The Electronic Journal of Linear Algebra.

A publication of the International Linear Algebra Society.. Volume

The rational Cherednik algebra of type

In Section 2, we prove Theorem 2.2 and Theorem 2.4 which show the freeness of the maximal divided power extension of the rational Cherednik algebra of

The algebra of polynumbers Pn is a generalization of the algebra of double numbers

If we consider the algebra polynumbers a smooth manifold X, then the corresponding Berwald-Moor metric is defined by function that is independent of the choice of the manifold X

A NOTE OF THE TORELLI SPACES OF

Teichm¨ uller spaces and modular groups of non-orientable surfaces are defined in a similar way, removing all the conditions that involve the orientability of the surface,

OPERATORNORMSOFWORDSFORMEDFROMPOSITIVE-DEFINITEMATRICES ELA

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume

ON THE MAXIMUM POSITIVE SEMI-DEFINITE NULLITY AND THE CYCLE MATROID OF GRAPHS

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume

Conjugacy of Subgroups of the General Linear Group

However, if both groups are absolutely irreducible, then there may be several different choices of normal subgroup that can be embedded in GL(n/s, q s ), so the loop in Step 4(d) is