Non-singularity refers to the property of a mathematical object, such as a matrix or an algebraic variety, being well-defined and without any 'holes' or 'breaks' in its structure. In the context of homotopy continuation methods, non-singularity is crucial because it ensures that the solutions can be tracked continuously without encountering singular points where the behavior of the system can change unpredictably.
congrats on reading the definition of Non-singularity. now let's actually learn it.