Inverses of 2 × 2 block matrices

[1]  J. W. Helton,et al.  Computer Assistance for “Discovering” Formulas in System Engineering and Operator Theory , 1999 .

[2]  P. Benner,et al.  An Implicitly Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem , 1997 .

[3]  Dai Hua Completing a symmetric 2 × 2 block matrix and its inverse , 1996 .

[4]  Charles R. Johnson,et al.  Completing a block diagonal matrix with a partially prescribed inverse , 1995 .

[5]  T. Terlaky,et al.  Some generalizations of the criss-cross method for quadratic programming , 1992 .

[6]  Jianming Miao,et al.  General expressions for the Moore-Penrose inverse of a 2×2 block matrix , 1991 .

[7]  R. D. Hill,et al.  On perhermitian matrices , 1990 .

[8]  R. D. Hill,et al.  On centrohermitian matrices , 1990 .

[9]  V. Lazutkin Signature of invertible symmetric matrices , 1988 .

[10]  R. Bapat,et al.  A generalization of A ∘ A−1 ⩾I , 1987 .

[11]  Miroslav Fiedler,et al.  Completing a Matrix When Certain Entries of Its Inverse Are Specified , 1986 .

[12]  D. Carlson What are Schur complements, anyway? , 1986 .

[13]  J. Weaver Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors , 1985 .

[14]  C. Radhakrishna Rao,et al.  Generalized inverses of partitioned matrices useful in statistical applications , 1985 .

[15]  I. N. Imam The Schur complement and the inverse M-matrix problem , 1984 .

[16]  F. R. Gantmakher The Theory of Matrices , 1984 .

[17]  F. Graybill,et al.  Matrices with Applications in Statistics. , 1984 .

[18]  Diane Valérie Ouellette Schur complements and statistics , 1981 .

[19]  On the characterization of generalized inverses by bordered matrices , 1980 .

[20]  Anna Lee,et al.  Centrohermitian and skew-centrohermitian matrices , 1980 .

[21]  THE MOORE-PENROSE INVERSE OF PARTICULAR BORDERED MATRICES , 1979 .

[22]  Secondary symmetric, skewsymmetric and orthogonal matrices , 1976 .

[23]  On s-symmetric, s-skewsymmetric and s-orthogonal matrices , 1976 .

[24]  I. J. Good,et al.  The Inverse of a Centrosymmetric Matrix , 1970 .

[25]  W. D. Ray The Inverse of a Finite Toeplitz Matrix , 1970 .

[26]  B. Noble Applied Linear Algebra , 1969 .

[27]  A. R. Collar ON CENTROSYMMETRIC AND CENTROSKEW MATRICES , 1962 .