EricDarve / numerical_linear_algebra

Julia code for the book Numerical Linear Algebra
114 stars 41 forks source link

A-conjugacy of search directions in CG p. 273 #169

Closed shaundatta closed 4 years ago

shaundatta commented 4 years ago

Since the update vectors are \Delta x^{(k)} and \Delta x^{(l)}, on p. 273 the \Delta in the boxed equation ought to appear within the parenthesis, i.e. \Delta (x^{(k)})^{T} A ... --> (\Delta x^{(k)})^{T} A ..., as in the slides from Lecture 14.

As currently written, it looks like an A-conjugacy condition on \Delta x^{(l)} and x^{(k)}, not \Delta x^{(k)}.

EricDarve commented 4 years ago

Correct. Fixed.