PivotWerte

PivotWerte is a term used in German-language technical literature to denote pivot values—values designated or produced during pivot operations in various computational processes. The precise meaning depends on the context, but the common idea is that certain values play a decisive role in transforming or reorganizing data or equations.

In linear algebra, PivotWerte refer to the pivot elements used during Gaussian elimination and matrix factorization. A pivot value is a nonzero element selected within the current submatrix to perform row operations that reduce the matrix toward upper triangular form. Algorithms often employ partial or complete pivoting, choosing pivots with large absolute values to improve numerical stability and reduce round-off errors. The sequence of chosen pivot values is a key part of the algorithm’s progress.

In data analysis, PivotWerte denote the values displayed in a pivot table after restructuring data. Pivot tables group data by row and column categories and apply an aggregation function (such as sum, average, or count) to produce the values in the table cells. The interpretation of PivotWerte depends on the underlying dataset and chosen aggregation, and they are central to the table’s summarized view.

In optimization, pivot operations are used in methods such as the Simplex algorithm for linear programming. The PivotWert corresponds to the pivot element that enters the basis and enables one basic feasible solution to be updated into another, guiding the search for optimality.

History and usage: The term arises from the general concept of pivoting in transformations and matrix algorithms and is used across mathematics, computer science, and business analytics.

See also: pivot; pivot table; Gaussian elimination; matrix factorization; simplex method.