"want to check your assembly procedure. Similarly, a "
"matrix can be rank deficient if you forgot to apply the "
"appropriate boundary conditions. For example, the "
- "Laplace equation without boundary conditions has a "
- "single zero eigenvalue and its rank is therefore "
- "deficient by one."
+ "Laplace equation for a problem where only Neumann boundary "
+ "conditions are posed (or where you forget to apply Dirichlet "
+ "boundary conditions) has exactly one eigenvalue equal to zero "
+ "and its rank is therefore deficient by one. Finally, the matrix "
+ "may be rank deficient because you are using a quadrature "
+ "formula with too few quadrature points."
"\n\n"
"The other common situation is that you run out of memory. "
"On a typical laptop or desktop, it should easily be possible "