AbstractLet A be an m × n matrix. It is shown that if a matrix  comes close to satisfying the definition of the Moore-Penrose generalized inverse of A,A†, then ┆–A†┆ is small. Norm estimates are given which make precise what is close. The Drazin generalized inverse is also considered
Moore (1920) defined the reciprocal of any matrix over the complex field by three con-ditions, but t...
Moore (1920) defined the reciprocal of any matrix over the complex field by three con-ditions, but t...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
This is the first paper of a two-long series in which we study linear generalized inverses that mini...
The Moore-Penrose inverse of a singular Wishart matrix is studied. When the scale matrix equals the ...
The Moore-Penrose inverse of a singular Wishart matrix is studied. When the scale matrix equals the ...
The Moore-Penrose inverse of a singular Wishart matrix is studied. When the scale matrix equals the ...
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
AbstractWe extend the concepts, introduced by C.R. Rao for Euclidean norms, of minimum g-inverses an...
AbstractIn 1956, R. Penrose studied best-approximate solutions of the matrix equation AX = B. He pro...
AbstractA new type of generalized inverse is defined which is a weakened form of the Drazin inverse....
Moore (1920) defined the reciprocal of any matrix over the complex field by three con-ditions, but t...
AbstractWe extend to the von Neumann-Schatten classes Cp and norms | · |psome inequalities concernin...
This is the first paper of a two-long series in which we study linear generalized inverses that mini...
Matrix convexity of the Moore-Penrose inverse was considered in the recent literature. Here we give...
Moore (1920) defined the reciprocal of any matrix over the complex field by three con-ditions, but t...
Moore (1920) defined the reciprocal of any matrix over the complex field by three con-ditions, but t...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
This is the first paper of a two-long series in which we study linear generalized inverses that mini...
The Moore-Penrose inverse of a singular Wishart matrix is studied. When the scale matrix equals the ...
The Moore-Penrose inverse of a singular Wishart matrix is studied. When the scale matrix equals the ...
The Moore-Penrose inverse of a singular Wishart matrix is studied. When the scale matrix equals the ...
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
AbstractWe extend the concepts, introduced by C.R. Rao for Euclidean norms, of minimum g-inverses an...
AbstractIn 1956, R. Penrose studied best-approximate solutions of the matrix equation AX = B. He pro...
AbstractA new type of generalized inverse is defined which is a weakened form of the Drazin inverse....
Moore (1920) defined the reciprocal of any matrix over the complex field by three con-ditions, but t...
AbstractWe extend to the von Neumann-Schatten classes Cp and norms | · |psome inequalities concernin...
This is the first paper of a two-long series in which we study linear generalized inverses that mini...
Matrix convexity of the Moore-Penrose inverse was considered in the recent literature. Here we give...
Moore (1920) defined the reciprocal of any matrix over the complex field by three con-ditions, but t...
Moore (1920) defined the reciprocal of any matrix over the complex field by three con-ditions, but t...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
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