Sentence examples for uniqueness conditions from inspiring English sources

The work[92] derived both essential uniqueness conditions and partial uniqueness conditions for PARALIND/CONFAC models of third‐order tensors.

However, the existence and uniqueness conditions obtained here are weaker than those in the previous studies.

Next, we discuss the uniqueness conditions for the fixed point of the map in Theorem 2.2.

Existence and uniqueness conditions are presented for the solution of the fixed-point analytical model.

The existence and uniqueness conditions of solutions of such systems are established by fixed point theory.

Moreover, the associated uniqueness conditions are easy to check in comparison with the ones presented earlier in[92].

Under uniqueness condition, the final step provides the unique solution which is sandwiched between the lower and the upper iterates.

Then, a simple uniqueness condition is derived for this problem.

Note that the uniqueness condition (({mathcal {H} }_{3})) also holds.

Moreover, Oseen type iterative method (Iterative method III) is unconditionally stable and convergent under a uniqueness condition.

A necessary and sufficient uniqueness condition for the INDSCAL model was established by Afsari [43].