cyclic method (Chakravala method)
GPTKB entity
Statements (21)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:algorithm
|
gptkbp:alsoKnownAs |
gptkb:Chakravala_method
|
gptkbp:describedBy |
gptkb:Bijaganita
|
gptkbp:developedBy |
gptkb:Bhaskara_II
12th century |
gptkbp:field |
number theory
|
https://www.w3.org/2000/01/rdf-schema#label |
cyclic method (Chakravala method)
|
gptkbp:influenced |
later European mathematicians
|
gptkbp:involves |
continued fractions
|
gptkbp:notableFor |
solving Pell's equation
|
gptkbp:originatedIn |
gptkb:India
|
gptkbp:recognizedBy |
gptkb:Carl_Friedrich_Gauss
gptkb:Leonhard_Euler |
gptkbp:significance |
efficient for large numbers
|
gptkbp:solvedBy |
x^2 - Ny^2 = 1
|
gptkbp:step |
cyclic selection of numbers
|
gptkbp:supportsAlgorithm |
iterative
|
gptkbp:usedFor |
solving quadratic Diophantine equations
|
gptkbp:bfsParent |
gptkb:Bhaskara_II
gptkb:Bhaskaracharya |
gptkbp:bfsLayer |
6
|