„… . Computing the eigenvalues of matrix A will result in − 1 < λn ≤ ... ≤ λ2 < λ1 = 1 (5.14) With an eigenvalue …” „… transactions must not exceed the existing load of the node. n∑ j=1 αij ≤ 1 (5.22) • A further constraint can be …” „… ., A1 = 1. Thus the objectives and constraints for the SDP can be formulated and inputted to the solver …”

„… deployment. The discussed method can be used in the presented work to form a list of constraints and …” „… ) Using Eq. 2.6, it can be clearly seen in Fig. 2.5 that the second Largest Eigenvalue Magnitude (SLEM …” „… optimum distribution according to the defined optimization/constraints criteria is the objective, e.g …”

„… applications were, for instance, heat conduction maximization, stress constraints, eigenvalue maximization …” „… the state vector, and G0 and Gl are optimization constraints with the target volume V0. In topology …” „… volume constraint G0(ρ). This constraint restricts the total 1Note that, in contrast to Sigmund and Maute …”

„… stress constraints [147]. This approach requires a connectivity analysis: material elements that do not …” „… structure for a volume constraint is transformed to the task of finding the optimum subtree, including the …” „… algorithm and a constraint handling evolutionary algorithm have been applied for optimization [187, 188 …”

„… discussed, followed by an analysis of constraints that lead to a parts-based representation. Then, sNMF as …” „… eigenvalue. In case of a zero mean input, W1 points to the dimension with the highest variance in the data …” „… extensions of the NMF is to add orthogonality constraints on the basis vectors, like in [17] or the LNMF [69 …”

„… plane. It is also common to impose additional constraints, see [38] for details. One of these …” „… constraints is p34 = 1, which we applied in this work. It alters the above equation system to an inhomogeneous …” „… versions are in use today. 2. Solve eigenvalue problem CXvi = λivi, i = 1, . . . ,d (2.31) where λi are the …”