Interval Tree and Its Application in Integer Factorization
نویسندگان
چکیده
منابع مشابه
Integer Matrix Factorization and Its Application
Matrix factorization has been of fundamental importance in modern sciences and technology. This work investigates the notion of factorization with entries restricted to integers or binaries, , where the “integer” could be either the regular ordinal integers or just some nominal labels. Being discrete in nature, such a factorization or approximation cannot be accomplished by conventional techniq...
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Interval graph is a very important subclass of intersection graphs and perfect graphs. It has many applications in different real life situations. The problems on interval graph are solved by using different data structures among them interval tree is very useful. During last decade this data structure is used to solve many problems on interval graphs due to its nice properties. Some of its imp...
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The textit{QIF} (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ} factorization. The WZ factorization can be faster than the textit{LU} factorization because, it performs the simultaneous evaluation of two columns or two rows. Here, we present a method for computing the real and integer textit{WZ} and textit{ZW} factoriz...
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“The problem of distinguishing prime numbers from composite numbers, and of resolving the latter into their prime factors, is known to be one of the most important and useful in arithmetic,” Gauss wrote in his Disquisitiones Arithmeticae in 1801. “The dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.”...
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ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2019
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v11n2p103