  Redundancy matrices provide insights into the load carrying behavior of
statically indeterminate structures. This information can be employed for the
design and analysis of structures with regard to certain objectives, for
example reliability, robustness, or adaptability. In this context, the
structure is often iteratively examined with the help of slight adjustments.
However, this procedure generally requires a high computational effort for the
recalculation of the redundancy matrix due to the necessity of costly matrix
operations. This paper addresses this problem by providing generic algebraic
formulations for efficiently updating the redundancy matrix (and related
matrices). The formulations include various modifications like adding,
removing, and exchanging elements and are applicable to truss and frame
structures. With several examples, we demonstrate the interaction between the
formulas and their mechanical interpretation. Finally, a performance test for a
scaleable structure is presented.
