---- > [!definition] Definition. ([[nonnegative matrix]]) > A [[matrix]] over $\mathbb{R}$ or $\mathbb{C}$ is called **nonnegative** if all its elements are are real and nonnegative. > [!warning] Warning. > This concept is unrelated to that of [[positive semidefinite matrix|positive semidefinite]] or [[positive definite matrix|positive definite matrices]] except in special cases (e.g., a [[diagonal matrix]] is [[nonnegative matrix|nonnegative]] iff it is [[positive semidefinite matrix|PSD]]). ---- #### ---- #### 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 > ```