Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Probability_theory
Statistics Combinatorics Approximation theory |
| gptkbp:category |
gptkb:Matrix_theory
|
| gptkbp:citation |
gptkb:Gantmacher_and_Krein,_"Oscillation_Matrices_and_Kernels_and_Small_Vibrations_of_Mechanical_Systems"
S. Karlin, "Total Positivity" (book, 1968) |
| gptkbp:describes |
Matrices
|
| gptkbp:field |
gptkb:Linear_algebra
gptkb:Matrix_theory |
| gptkbp:generalizes |
Positive definite matrix
|
| https://www.w3.org/2000/01/rdf-schema#label |
Total Positivity
|
| gptkbp:implies |
All entries are positive
|
| gptkbp:introduced |
gptkb:F._R._Gantmacher
gptkb:M._G._Krein |
| gptkbp:introducedIn |
1930s
|
| gptkbp:property |
All minors are nonnegative
|
| gptkbp:relatedTo |
gptkb:Pólya_frequency_function
Totally nonnegative matrix Variation diminishing property |
| gptkbp:bfsParent |
gptkb:Samuel_Karlin
|
| gptkbp:bfsLayer |
6
|