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  /external/ceres-solver/docs/
nnlsq.tex 19 With a little bit of calculus, this problem can be solved easily by hand. But what if, instead of a line we were interested in a more complicated relationship between $x$ and $y$, say for example $y = e^{mx + c}$. Then the optimization problem becomes
solving.tex 15 The general strategy when solving non-linear optimization problems is to solve a sequence of approximations to the original problem~\cite{nocedal2000numerical}. At each iteration, the approximation is solved to determine a correction $\Delta x$ to the vector $x$. For non-linear least squares, an approximation can be constructed by using the linearization $F(x+\Delta x) \approx F(x) + J(x)\Delta x$, which leads to the following linear least squares problem:
79 The factorization methods are based on computing an exact solution of~\eqref{eq:lsqr} using a Cholesky or a QR factorization and lead to an exact step Levenberg-Marquardt algorithm. But it is not clear if an exact solution of~\eqref{eq:lsqr} is necessary at each step of the LM algorithm to solve~\eqref{eq:nonlinsq}. In fact, we have already seen evidence that this may not be the case, as~\eqref{eq:lsqr} is itself a regularized version of~\eqref{eq:linearapprox}. Indeed, it is possible to construct non-linear optimization algorithms in which the linearized problem is solved approximately. These algorithms are known as inexact Newton or truncated Newton methods~\cite{nocedal2000numerical}.
298 Now, \eqref{eq:linear2}~can be solved by first forming $S$, solving for $\Delta y$, and then back-substituting $\Delta y$ to obtain the value of $\Delta z$.
394 There are two ways in which it can be solved. First eliminating $x$
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  /external/eigen/blas/
ctpsv.f 37 * On entry, TRANS specifies the equations to be solved as
dtpsv.f 37 * On entry, TRANS specifies the equations to be solved as
stpsv.f 37 * On entry, TRANS specifies the equations to be solved as
ztpsv.f 37 * On entry, TRANS specifies the equations to be solved as
  /external/libvpx/libvpx/examples/includes/PHP-SmartyPants-1.5.1e/
smartypants.php 749 this problem can be solved in the general case -- every word processor
  /external/iproute2/doc/
ip-cref.tex     [all...]

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