Orthogonal projection and norm. For $Q=Q^T>0$ and $R=R^T$ and $A$ Full Row Rank, What can we say about $R$ if the norm $\left\Vert \left(I-A^{-R}A\right)R\right\Vert
orthogonal projection
For $Q=Q^T>0$ and $R=R^T$ and $A$ Full Row Rank,. What can we say about $R$ if the norm $\left\Vert \left(I-A^{-R}A\right)R\right\Vert _{Q}^{2}=\left(I-A^{-R}A\right)RQ\left(I-A^{-R}A\right)R=0$ ?
Abstract. We analyze the best approximation (in the Frobenius sense) to the identity matrix in an arbitrary matrix subspace ( nonsingular, being any fixed subspace of ). Some new geometrical and spectral properties of the& ...
Orthogonal projection: more linear algebra questions. I`m working on proving the following: If $P:V\to V$ is a linear operator and $P^2=P$ and $\|Pv\|\le\|v\|$ for all $v \in V$ then $P$ is an orthogonal projection. My thoughts on& ...
Orthogonal projection and norm. For $Q=Q^T>0$ and $R=R^T$ and $A$ Full Row Rank, What can we say about $R$ if the norm $\left\Vert \left(I-A^{-R}A\right)R\right\Vert
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- Sep 04 Wed 2013 16:26
Orthogonal Projection
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