-
1
-
-
0000862711
-
Generalized Schur complements
-
Ando T. Generalized Schur complements. Linear Algebra Appl. 27:1979;173-186.
-
(1979)
Linear Algebra Appl.
, vol.27
, pp. 173-186
-
-
Ando, T.1
-
3
-
-
0004508311
-
Rank invariance criterion and its applications to the unified theory of least squares
-
Baksalary J.K., Mathew T. Rank invariance criterion and its applications to the unified theory of least squares. Linear Algebra Appl. 127:1990;393-401.
-
(1990)
Linear Algebra Appl.
, vol.127
, pp. 393-401
-
-
Baksalary, J.K.1
Mathew, T.2
-
5
-
-
0035587785
-
Unicity of minimal rank completions for tri-diagonal partial block matrices
-
Bostian A.A., Woerdeman H.J. Unicity of minimal rank completions for tri-diagonal partial block matrices. Linear Algebra Appl. 325:2001;23-55.
-
(2001)
Linear Algebra Appl.
, vol.325
, pp. 23-55
-
-
Bostian, A.A.1
Woerdeman, H.J.2
-
6
-
-
1642324861
-
On generalized inverses of partitioned matrices
-
Bhimasankaram P. On generalized inverses of partitioned matrices. Sankhyā Ser. A. 33:1971;311-314.
-
(1971)
Sankhyā Ser. A
, vol.33
, pp. 311-314
-
-
Bhimasankaram, P.1
-
8
-
-
0000741454
-
What are Schur complements, anyway?
-
Carlson D. What are Schur complements, anyway? Linear Algebra Appl. 74:1986;257-275.
-
(1986)
Linear Algebra Appl.
, vol.74
, pp. 257-275
-
-
Carlson, D.1
-
9
-
-
0015977083
-
A generalization of the Schur complements by means of the Moore-Penrose inverse
-
Carlson D., Haynsworth E., Markham T. A generalization of the Schur complements by means of the Moore-Penrose inverse. SIAM J. Appl. Math. 26:1974;169-179.
-
(1974)
SIAM J. Appl. Math.
, vol.26
, pp. 169-179
-
-
Carlson, D.1
Haynsworth, E.2
Markham, T.3
-
11
-
-
0010706337
-
Completing a matrix so as to minimize its rank
-
Davis C. Completing a matrix so as to minimize its rank. Oper. Theory: Adv. Appl. 29:1988;87-95.
-
(1988)
Oper. Theory: Adv. Appl.
, vol.29
, pp. 87-95
-
-
Davis, C.1
-
12
-
-
1642394643
-
Remarks on the Schur complement
-
Fiedler M. Remarks on the Schur complement. Linear Algebra Appl. 39:1981;189-195.
-
(1981)
Linear Algebra Appl.
, vol.39
, pp. 189-195
-
-
Fiedler, M.1
-
13
-
-
21444449451
-
Comments on range invariance of matrix products
-
Groß J. Comments on range invariance of matrix products. Linear and Multilinear Algebra. 41:1996;157-160.
-
(1996)
Linear and Multilinear Algebra
, vol.41
, pp. 157-160
-
-
Groß, J.1
-
14
-
-
0000374855
-
Matrix completion problems: A survey in matrix theory and applications
-
Johnson C.R. Matrix completion problems: a survey in matrix theory and applications. Proc. Sympos. Appl. Math. AMS. 40:1990;171-197.
-
(1990)
Proc. Sympos. Appl. Math. AMS
, vol.40
, pp. 171-197
-
-
Johnson, C.R.1
-
17
-
-
44949289177
-
2 and a programming problem
-
2 and a programming problem Linear Algebra Appl. 131:1990;107-123.
-
(1990)
Linear Algebra Appl.
, vol.131
, pp. 107-123
-
-
Mitra, S.K.1
-
18
-
-
0041568115
-
Schur complements and statistics
-
Ouelette D.V. Schur complements and statistics. Linear Algebra Appl. 36:1990;187-295.
-
(1990)
Linear Algebra Appl.
, vol.36
, pp. 187-295
-
-
Ouelette, D.V.1
-
19
-
-
44949268764
-
A common solution to a pair of linear matrix equations over a principal ideal domain
-
Özgüler A.B., Akar N. A common solution to a pair of linear matrix equations over a principal ideal domain. Linear Algebra Appl. 144:1991;85-99.
-
(1991)
Linear Algebra Appl.
, vol.144
, pp. 85-99
-
-
Özgüler, A.B.1
Akar, N.2
-
21
-
-
84968484501
-
The equations AX-YB=C and AX-XB=C in matrices
-
Roth W.E. The equations. AX-YB=C and AX-XB=C in matrices Proc. Amer. Math. Soc. A. 3:1952;392-396.
-
(1952)
Proc. Amer. Math. Soc. A
, vol.3
, pp. 392-396
-
-
Roth, W.E.1
-
22
-
-
21144472993
-
On rank additivity and the polynomial equation p(A)=0
-
Šemrl P. On rank additivity and the polynomial equation. p(A)=0 Linear Algebra Appl. 176:1992;21-36.
-
(1992)
Linear Algebra Appl.
, vol.176
, pp. 21-36
-
-
Šemrl, P.1
-
23
-
-
0034359185
-
Completing block matrices with maximal and minimal ranks
-
Tian Y. Completing block matrices with maximal and minimal ranks. Linear Algebra Appl. 321:2000;327-345.
-
(2000)
Linear Algebra Appl.
, vol.321
, pp. 327-345
-
-
Tian, Y.1
-
24
-
-
85088342832
-
The minimal ranks of the matrix expression A-BX-YC
-
in press
-
Y. Tian, The minimal ranks of the matrix expression A-BX-YC, Missouri J. Math. Sci., in press.
-
Missouri J. Math. Sci.
-
-
Tian, Y.1
-
25
-
-
1642285719
-
The minimal rank completion of a 3 × 3 partial block matrix
-
in press
-
Y. Tian, The minimal rank completion of a 3 × 3 partial block matrix, Linear and Multilinear Algebra, in press.
-
Linear and Multilinear Algebra
-
-
Tian, Y.1
-
26
-
-
1642358870
-
Using rank to characterize equalities for generalized inverses of matrices
-
in press
-
Y. Tian, Using rank to characterize equalities for generalized inverses of matrices, Southeast Asian Bull. Math., in press.
-
Southeast Asian Bull. Math.
-
-
Tian, Y.1
-
27
-
-
0035885361
-
Rank equalities for idempotent and involutory matrices
-
Tian Y., Styan G.P.H. Rank equalities for idempotent and involutory matrices. Linear Algebra Appl. 335:2001;101-117.
-
(2001)
Linear Algebra Appl.
, vol.335
, pp. 101-117
-
-
Tian, Y.1
Styan, G.P.H.2
-
28
-
-
0010746746
-
The lower order of triangular operators and minimal rank extensions
-
Woerdeman H.J. The lower order of triangular operators and minimal rank extensions. Integral Equations Operator Theory. 10:1987;859-879.
-
(1987)
Integral Equations Operator Theory
, vol.10
, pp. 859-879
-
-
Woerdeman, H.J.1
-
29
-
-
0010663525
-
Minimal rank completions for block matrices
-
Woerdeman H.J. Minimal rank completions for block matrices. Linear Algebra Appl. 121:1989;105-122.
-
(1989)
Linear Algebra Appl.
, vol.121
, pp. 105-122
-
-
Woerdeman, H.J.1
-
30
-
-
0010660778
-
Minimal rank completions of partial banded matrices
-
Woerdeman H.J. Minimal rank completions of partial banded matrices. Linear and Multilinear Algebra. 36:1993;59-69.
-
(1993)
Linear and Multilinear Algebra
, vol.36
, pp. 59-69
-
-
Woerdeman, H.J.1
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