AbstractAn optimization problem of minimizing a real-valued function of certain elements of a symmetric matrix subject to this matrix being nonnegative definite is considered. Optimality conditions are proposed. The duality result of Olkin and Pukelsheim (1982) is extended to a wide class of such problems. Applications are discussed
The paper is concerned with multi-extremum optimization problems with one and many variables. The op...
AbstractWe characterize the existence of a positive definite l×l matrix X the entries of which satis...
AbstractIt is shown that a sufficient condition for a nonnegative real symmetric matrix to be comple...
AbstractAn optimization problem of minimizing a real-valued function of certain elements of a symmet...
AbstractLet G be a real-valued function defined on the set Pn,F of all positive definite complex her...
A problem studied by Flanders (1975) is to minimize the function f(R) tr(SR+TR-1) over the set of po...
AbstractLet G be a real-valued function defined on the set Pn,F of all positive definite complex her...
A definition of a special class of optimization problems with set functions is given. The existence ...
AbstractA minimization problem for a matrix-valued matrix function is considered. A duality theorem ...
The optimization problems involving orthogonal matrices have been formulated in this work. A lower b...
are known matrices and and are the solutions to the matrix equations 1 = 1 , 1 = 1 , and 2 = 2 , res...
It has been recently reported that minimax eigenvalue problems can be formulated as nonlinear optimi...
AbstractWe give methods for finding a subspace L of Rn of high dimension on which a given real symme...
AbstractThe paper was motivated by solution methods suggested in the literature for solving linear o...
AbstractTwo dual problems are proposed for the minimax problem: minimize maxy ϵ Y φ(x, y), subject t...
The paper is concerned with multi-extremum optimization problems with one and many variables. The op...
AbstractWe characterize the existence of a positive definite l×l matrix X the entries of which satis...
AbstractIt is shown that a sufficient condition for a nonnegative real symmetric matrix to be comple...
AbstractAn optimization problem of minimizing a real-valued function of certain elements of a symmet...
AbstractLet G be a real-valued function defined on the set Pn,F of all positive definite complex her...
A problem studied by Flanders (1975) is to minimize the function f(R) tr(SR+TR-1) over the set of po...
AbstractLet G be a real-valued function defined on the set Pn,F of all positive definite complex her...
A definition of a special class of optimization problems with set functions is given. The existence ...
AbstractA minimization problem for a matrix-valued matrix function is considered. A duality theorem ...
The optimization problems involving orthogonal matrices have been formulated in this work. A lower b...
are known matrices and and are the solutions to the matrix equations 1 = 1 , 1 = 1 , and 2 = 2 , res...
It has been recently reported that minimax eigenvalue problems can be formulated as nonlinear optimi...
AbstractWe give methods for finding a subspace L of Rn of high dimension on which a given real symme...
AbstractThe paper was motivated by solution methods suggested in the literature for solving linear o...
AbstractTwo dual problems are proposed for the minimax problem: minimize maxy ϵ Y φ(x, y), subject t...
The paper is concerned with multi-extremum optimization problems with one and many variables. The op...
AbstractWe characterize the existence of a positive definite l×l matrix X the entries of which satis...
AbstractIt is shown that a sufficient condition for a nonnegative real symmetric matrix to be comple...
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