---- > [!definition] Definition. ([[diagonal matrix pseudoinverse]]) > The **pseudoinverse** of a (rectangular) [[diagonal matrix]] $D \in \mathbb{F}^{M \times N}$ is a (rectangular) [[diagonal matrix]] $D^{+}$ whose nonzero entries are the reciprocals $\frac{1}{d_{k}}$ of the nonzero [[diagonal]] entries of $D$. > \ > This definition is rather subsumed by that of [[Moore-Penrose pseudoinverse]]; it is more of a proposition now. ---- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```