Results 261 to 270 of about 42,588 (304)

The symmetric M-matrix and symmetric inverse M-matrix completion problems

open access: yesLinear Algebra and Its Applications, 2002
The symmetric M-matrix and symmetric M0-matrix completion problems are solved and results of Johnson and Smith [Linear Algebra Appl. 290 (1999) 193] are extended to solve the symmetric inverse M-matrix completion problem: (1)A pattern (i.e., a list of ...
Leslie Hogben
exaly   +3 more sources

The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems

open access: yesComputers and Mathematics With Applications, 2009
A formula for the inverse of any nonsingular matrix partitioned into two-by-two blocks is derived through a decomposition of the matrix itself and generalized inverses of the submatrices in the matrix.
Yongge Tian, Yoshio Takane
exaly   +2 more sources

Matrix completion problems for pairs of related classes of matrices

open access: yesLinear Algebra and Its Applications, 2003
For a class X of real matrices, a list of positions in an n×n matrix (a pattern) is said to have X-completion if every partial X-matrix that specifies exactly these positions can be completed to an X-matrix.
Leslie Hogben
exaly   +3 more sources

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