@@ -84,11 +84,11 @@ discussed in the [section on pivot perturbation](#pivot-perturbation).
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#### Matrix properties of power system equations
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The matrices involved in
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- [ power flow equations] ( ../../ user_manual/calculations.md#power-flow-algorithms ) are not Hermitian,
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+ [ power flow equations] ( ../user_manual/calculations.md#power-flow-algorithms ) are not Hermitian,
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nor positive (semi-)definite. As a result, methods that depend on that property cannot be used.
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The matrices involved in
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- [ state estimation equations] ( ../../ user_manual/calculations.md#state-estimation-algorithms ) ,
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+ [ state estimation equations] ( ../user_manual/calculations.md#state-estimation-algorithms ) ,
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instead, are, in fact, intrinsically both positive definite and Hermitian. However, for
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[ performance reasons] ( #performance-considerations ) , the matrix equation is augmented to achieve
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a consistent structure across the entire topology using Lagrange multipliers. This augmented
@@ -952,7 +952,7 @@ tolerance.
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In power system equations, the matrix \mathbf{M} in equation
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$\mathbf{M} \boldsymbol{x} = \boldsymbol{b}$ can contain very discrepant entries: some may be very
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large while others are zero or very small (see also the
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- [ documentation on calculations] ( ../../ user_manual/calculations.md ) ). The same may be true for the
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+ [ documentation on calculations] ( ../user_manual/calculations.md ) ). The same may be true for the
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right-hand side of the equation $\boldsymbol{b}$, as well as its solution $\boldsymbol{x}$. In fact,
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there may be certain rows $i$ for which both $\left|\boldsymbol{b}\left[ i\right] \right|$ and
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$\sum_j \left|\mathbf{M}\left[ i,j\right] \right| \left|\boldsymbol{x}\left[ j\right] \right|$ are small
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