AbstractGiven symmetric generalized inverses of Aχx′c, where χ is a vector with n components, we obtain formulae for the corresponding generalized inverses (symmetric) of A. An application of such formulae in linear models is suggested
AbstractUsing Kronecker products, a simple expression is derived for the inverse of a certain block-...
AbstractThis paper presents conditions which are necessary and sufficient for (AB>)+ = B+Aω for all ...
AbstractA formula for the partitioned minimum-norm reflexive generalized inverse is applied to find ...
AbstractIn practice factorizations of a generalized inverse often arise from factorizations of the m...
AbstractThe relationships between generalized inverses of the product of two matrices A, B and the p...
AbstractIn this paper R.E. Cline's formula for the generalized inverse of the partitioned matrix (U,...
AbstractNecessary and sufficient conditions are derived for the matrix equality A-=PN-Q to hold, whe...
AbstractThe inverse of the matrix A(τ, q) = (aij(τ, q)), aij(τ, q) = (τ+aji), i, j = 0,1,…., n− 1, i...
AbstractThe necessary and sufficient conditions for the existence of and the expressions for the sym...
AbstractAn essential part of Cegielski’s [Obtuse cones and Gram matrices with non-negative inverse, ...
AbstractGiven symmetric generalized inverses of Aχx′c, where χ is a vector with n components, we obt...
Inverse matrices applied to analysis and minimization of systems of linear equation
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
AbstractThe Moore-Penrose inverse of a 2 × 2 block matrix M = m=acbd is discussed. General expressio...
AbstractWe give an explicit formula for the Moore-Penrose inverse of an m × n partitioned matrix M=(...
AbstractUsing Kronecker products, a simple expression is derived for the inverse of a certain block-...
AbstractThis paper presents conditions which are necessary and sufficient for (AB>)+ = B+Aω for all ...
AbstractA formula for the partitioned minimum-norm reflexive generalized inverse is applied to find ...
AbstractIn practice factorizations of a generalized inverse often arise from factorizations of the m...
AbstractThe relationships between generalized inverses of the product of two matrices A, B and the p...
AbstractIn this paper R.E. Cline's formula for the generalized inverse of the partitioned matrix (U,...
AbstractNecessary and sufficient conditions are derived for the matrix equality A-=PN-Q to hold, whe...
AbstractThe inverse of the matrix A(τ, q) = (aij(τ, q)), aij(τ, q) = (τ+aji), i, j = 0,1,…., n− 1, i...
AbstractThe necessary and sufficient conditions for the existence of and the expressions for the sym...
AbstractAn essential part of Cegielski’s [Obtuse cones and Gram matrices with non-negative inverse, ...
AbstractGiven symmetric generalized inverses of Aχx′c, where χ is a vector with n components, we obt...
Inverse matrices applied to analysis and minimization of systems of linear equation
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
AbstractThe Moore-Penrose inverse of a 2 × 2 block matrix M = m=acbd is discussed. General expressio...
AbstractWe give an explicit formula for the Moore-Penrose inverse of an m × n partitioned matrix M=(...
AbstractUsing Kronecker products, a simple expression is derived for the inverse of a certain block-...
AbstractThis paper presents conditions which are necessary and sufficient for (AB>)+ = B+Aω for all ...
AbstractA formula for the partitioned minimum-norm reflexive generalized inverse is applied to find ...
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