Faddejew, D. K. / Faddejewa, W. N., Numerische Methoden der linearen Algebra. 4. Aufl., München-Wien. R. Oldenbourg-Verlag. 1976. 782 S., 35 Abb., DM 108,-

Differential calculus for some p -norms of the fundamental matrix with applications

An iterative method which may under certain circumstances be an alternative to the Lanczos (1958) method has been investigated. The main properties of this scheme are discussed and a small numerical example is presented.

https://iopscience.iop.org/article/10.1088/0305-4470/10/7/006/pdf

An iterative method for calculating low lying eigenvalues of an Hermitian operator

A generalized approach is introduced for the nominal design of integrated circuits using parametric optimization. The optimization method consists of several interactive improvement steps based on circuit simulation and gradient evaluation techniques. Both the overdetermined and underdetermined optimization problems arising from different design situations are discussed. Criteria are given to deduce a set of linearly independent parameters and objectives specifying the circuit's behavior and reducing computation time. As a central assessment criterion of the improvement process, a standardization representation of the relationship between the prospective correction effect and the correction effort is used. A circuit example is used to illustrate the proposed optimization strategy. >

Nominal design of integrated circuits on circuit level by an interactive improvement method

We consider a multiple server processor sharing model with a finite number of terminals (customers). Each terminal can submit at most one job for service at any time. The think times of the terminals and the service time demands are independently exponentially distributed. We focus our attention on the exact detailed analysis of the waiting time distribution of a tagged job. We give the Laplace-Stieltjes transform of the waiting time distribution conditioned on the job's service time demand and the state of the other terminals and show that these transforms can be efficiently evaluated and inverted. Further results include the representation of conditioned waiting times as mixtures of a constant and several exponentially distributed components. The numerical precision of our results is being compared with results from a discrete approximation of the waiting time distributions.

Waiting time distributions for closed M/M/N processor sharing queues

http://link.springer.com/content/pdf/10.1007/978-3-642-82704-4_38.pdf

Faddejew, D. K. / Faddejewa, W. N., Numerische Methoden der linearen Algebra. 4. Aufl., München-Wien. R. Oldenbourg-Verlag. 1976. 782 S., 35 Abb., DM 108,-

Citations

Differential calculus for some p -norms of the fundamental matrix with applications

An iterative method for calculating low lying eigenvalues of an Hermitian operator

Nominal design of integrated circuits on circuit level by an interactive improvement method

Waiting time distributions for closed M/M/N processor sharing queues

Nonlinear Analysis of Shells of Revolution Including Contact Conditions

Related Papers (1)

Numerische Methoden der linearen Algebra