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Factoring nonnegative matrices with linear programs NeurIPS 2012 · Victor Bittorf, Benjamin Recht, Christopher Re, Joel A. Tropp · Edit social preview This paper describes a new approach...
Name, Size, Date, Description ; (Parent Dir), folder, folder, Up to TI-83/84 Plus BASIC Math Programs (Arithmetic) ; afactor201.zip, 2k, 02-02-16, A-Factor is a program that factors numbers and saves them to list 1. This one is slighlty faster than A-Factor 2.0 ; afactor2.zip, 1k, 02-02-10, A-Factor is a program that factors numbers and saves them to list 1 ; alldivis.zip, 1k, 05-03-09, This useful program is only 181 bytes, yet it will find every prime divisor of a number that you input. It will take up to 1 minute for numbers up to 8 digits, and about 10 seconds for numbers of 4 digits. This program will output its results on List4, so be sure not to store anything important there before running. Also, this program may take a while to run. Have fun! ; aprime1.zip, 3k, 11-09-04, APRIME1: This prime factor program is the best compromise between speed and size. With only 146 bytes it tells you that 333667 is a prime in just a little more than two seconds, on an 83 Plus. APRIME2: This prime checker uses a list of 48 numbers, ( LP ) which you need to install on your calculator. It is really fast with smaller numbers, and a big prime like 10566779 is confirmed in just 8 seconds! APRIME8: This program is the same as APRIME1, except that it shows the factors with their power. You never risk running out of screen with this program. APRIME9: This program is aimed for the really big primes. It uses two lists, LP and LQ, which you need to install. The later has 480 numbers in it, and takes up more than 4000 bytes. ; aprimedivisor2.zip, 1k, 10-07-28, APRIME: This little program ( 117 bytes ), finds the prime factors of a positive integer, faster than most other programs of this kind, and it does so without skipping any END-commands. A great advantage, since skipping those consumes a lot of memory. DIVISOR2: This program finds the divisors in a positive integer. It does so without skipping any END-commands. It is very fast compared to the ordinary program of this kind, since it is a converted prime factor program. Only 172 bytes. ; aprime.zip, 1k, 05-11-26, APRIME is a prime number finder. It is very small and very easy to run. Optimized for SAT I Math and SAT II Math IIC. I've tested it on both tests, and my prime number finder program is better than others because it is small and easy to run. So try it out today for that test. ; bprime.zip, 1k, 00-08-29, Highly optimized program will factor a number that you input. Amazing speed for BASIC! ; cheat3.8xg.zip, 144k, 11-01-19, This is one of the most complete suites of homework help functions in existence, and it's all packed in one program (with an assembly subprogram for some of the chemistry functions). Featuring an easy-to-use menu system, it packs dozens of extremely useful algebra, geometry, calculus, chemistry, and physics functions for middle school, high school and even college courses. Includes 18 different area, volume, and surface area solvers for geometry students, a list of essential trigonometric identities, and many intuitive calculators for many other topics, such as a complete triangle solver. More general features include 326 different unit conversions (in an extremely simple scrollable graphical interface) and many other essential features, such as chemical equation balancing and formula interpreting. Check out the screenshots; you'll be amazed. ; curtsfactor.zip, 587k, 20-02-03, This program finds the integer solutions to the equation of a hyperbola to find divisors/factors of any integer. This update only corrects typos in the documentation and additional information. ; divisor3.zip, 1k, 10-07-29, DIVISOR3:This program finds all the divisors of a positive integer. It is extremely fast compared with other programs of this kind. For example: 1 000 000 is handled in 5 seconds on an 83Plus, and only 2 seconds on an 84 or 83P SE! Compare this with your present program and you'll see why you rather want this program on your calc. APRIME2: This program finds the prime factors of a positive integer. It uses a list ( list N ), that you must install on your calc. It is extremely fast since it does not divide with numbers that have a factor 2, 3, 5, or 7. ; divisor4.zip, 1k, 10-08-04, DIVISOR4: This program finds the divisors of a positive rational number. For example: 144, 30030, 4.55 and/or 2.36. In case it's a decimal number, you get all the divisors of the numerator divided by the denominator. Look at the screenshots. DIVISOR5: This program finds the divisors of a rational number, positive or negative. It has a much bigger capacity than the above program. It uses strings for the larger rational numbers. To convert the numbers, it has a subroutene: NBR2STR, written by Nick King. His author profile: http://www.ticalc.org/archives/files/authors/102/10288.html His e-mail address: ( [email protected] ) ; divisora6.zip, 1k, 12-01-31, This program finds the divisors of a positive integer. Based upon a prime factor program, it divides with a list of eight numbers at the same time, so it is really fast. Yet very compact with only 186 bytes. ; divisors.zip, 2k, 10-08-12, These programs finds all the divisors of a positive integer, or as you would say: factors, wich is not a correct denomination. There is also a text version of one of the programs in the file. They are converted prime factor programs, and as such extremely fast, compared with the ordinary programs of this type. ; divisor.zip, 1k, 03-08-26, This program computes all the divisors of a natural number with unsurpassable speed. At only 64 bytes it's a truly elegant program. The other programs don't even come close to matching it. ; divis.zip, 1k, 04-12-03, Enter a number, and it will tell you all the factors. If you enter 98 it will give you 1, 2, 7, 14, and 49. If the number is prime it will say so. ; esfactor.zip, 1k, 02-02-10, Factor any positive or negative interger and find Perfect Square factors -- very useful for polynomial factoring ; facquad.zip, 1k, 09-03-21, Factors Ax^2 + Bx + C quadratics with integer coefficients (real numbers only). For example: 18x^2 + 15x - 63. The program gives the GCF of 3 and (2x + 3) (3x + 7). The program returns to the A,B,C inputs if it only finds a GCF with no further factoring. ; factator.zip, 1k, 03-11-12, Just a simple little program where you input where you input a number and it finds all of it's factors 1 by 1. It even tells you if it's prime. ; factcalc.zip, 2k, 03-03-17, This program calculates the integer factors of any number. Fast and reliable. Update REMOVES pointless MirageOS compatibility, which saves space. ; factor_04.zip, 3k, 13-02-11, This program takes a LIST of numbers, separated by commas, and finds all factors of the numbers in the list with a runtime of O(sqrt(n)). This program also tells the user if the inputs are abundant numbers. ; factor05.zip, 1k, 13-02-18, This program finds the divisors for a set of numbers, and tells wether they are abundant or not. A number is abundant if the sum of its proper divisors is greater than the number itself. 12 is the first abundant number, its proper divisors are: 1, 2, 3, 4, 6, which add up to 16. You enter the numbers separated with a comma. More on this at: http://en.wikipedia.org/wiki/Abundant_number ; factor2.zip, 1k, 02-02-21, This program factors any positive integer and will also add up the factors and tell if the number is prime or perfect. FAST and ACCURATE!!! ; factor3.zip, 1k, 02-12-07, This is a really fast factoring program, Fixed bug over old vesion ; factor4.4.zip, 2k, 04-11-04, In Factor, one enters an integer (positive or negative) and Factor displays all factors of that integer. ie: -30=>Factor=>-5,6,5,-6,-3,10,3,-10,-2,15,2,-15,-1,30,1,-30 Runnable from [PRGM] and MirageOS. ; factor4.zip, 1k, 02-11-20, Factor is a small (241 Bytes) application that will factor both positive and negative integers in a fairly short time span. It takes about 10 seconds to factor 100 returning both positive and negative integers. ; factor_83.zip, 1k, 04-12-14, The coolest factorization program ever! Works great with a ton of crash reducing features built in. Have fun! ; factor.8xp, 1k, 03-03-08, This is a small program that quickly finds all natural factors of any interger (negative or postive). ; factor_afactor2.zip, 1k, 04-02-03, Meant to be as a supplement to Rob Gaebler's AFACTOR2, this will convert the matrix output (not very useful) to a list (much more useful) that allows easy access to each factor. If you downloaded AFACTOR2, download this too! ; factor_app.zip, 5k, 10-09-19, Need to Factor a bunch of numbers fast? Look no further! This app is so easy to use it's like using a built in TI command. Did you know 9,000 has 47 different factors? you would if you had this app!! ; factorcalc.zip, 11k, 05-03-02, A very simple program that shows you all of the factors of a number in a range that you specify. ; factordes.zip, 2k, 04-05-03, This program takes a given number and displays the factors of it. ; factorer.zip, 1k, 10-08-12, This file contains two programs that factors positive integers (finds divisors): Factorer v1.21 and DIVISOR1. Both programs are converted prime factor programs and uses the augment(-command to find the correct number of combinations in between the prime factors they find. As a result they are extremely fast compared to the ordinary factoring programs that simply counts up to the square root of the number. ; factore.zip, 9k, 12-03-29, This Program not only factors an integer N into PRIMES, but also lists its FACTOR PAIRS. For N = 100, you get 2, 2, 5, 5 and 2x50, 4x25, 5x20, 10x10. ; factor_finder.zip, 1k, 05-06-18, To find factors of positive integers, display them clearly and store them in L6 for later use. Can also bve used to find prime numnbers. The algorithm that this program uses makes it much faster than many other factor finders. It only searches for half of the factors, while the others are derived from the factors already found. ; factorghost.zip, 1k, 07-08-21, This is the same as my Factor program, except it runs behind the scenes, and can be used from inside other programs. ; factoringjl.zip, 1k, 16-03-26, This program will produce factor pairs for a positive integer. Great for algebra students. Enjoy! ; factoringtool.zip, 1k, 03-10-23, Factors positive integers. Take a look! ; factoring.zip, 1k, 10-02-03, This program asks you a number. It then finds all the factors for that number (low RAM makes it not go as high). While it checks for factors, It displays what percent done it is at the top. You will be able to view the factors in L6 ( Stat, edit, and look at L6) ; factoriser.zip, 7k, 06-05-14, A blazingly fast routine finds the prime factors of any integer. ; factorit.zip, 2k, 04-04-30, A very easy program to use that will give you all the factors of the input along with the squared value. ; factorizer.zip, 11k, 04-10-04, This program factors integers, decimals, and polynomials. I would like to credit the Haynes Bridge Middle School Math Counts team of 2003/2004 for teaching me how to program. ; factornum.zip, 1k, 05-03-09, Factors any number and displays the results in pairs. ; factorof.zip, 1k, 07-08-21, This program finds all of the factors of a number. If you need any help, please let me know at [email protected]. ; factorplusdp.zip, 1k, 03-03-06, A fast number factorer, great for +SE becuase of higher processor speed but still great for 83+ ; factorplus.zip, 1k, 11-05-13, This program gives you the prime factors, the divisors, and the factor pairs of an integer. It is basically a very fast prime factor program which does the prime factors and the divisors at the same time. The factor pairs are then extracted from the list of divisors. So it's very fast for what it does. ; factorprime.zip, 1k, 07-12-27, Finds the prime factorization of any positive integer. ; factors1.zip, 1k, 04-07-11, Finds all the factors of a number. Uses a fast algorithm that will speed up factor finding once it has found half of the factors. Then it will find the rest of the factors using the existing factors. ; factorsss.zip, 1k, 03-08-22, Finds the prime integer factors of a number. Fast and efficient. ; factorsx.zip, 2k, 02-02-16, This program is used to find all the whole-number factors of a given integer. Input the number in the main screen, and in the graph screen, the program will show you what can divide into that number, and how many times. ; factors.zip, 1k, 06-09-08, This program computes the prime factorization of a given number. It performs this computation pretty fast. As you can see from the screenshots, the display is really cool. This updated version changes the output for the program. ; factorxx.zip, 8k, 04-02-03, This excellent whole number factoring program is quick and loaded with features! With the new "dual-processing" technology, factoring times are reduced dramatically (see the readme file for more info). New updates in this version include bug fixes and speed optimization. More control has been added to manipulate the speed and interface. Download now to experience the speed and ease of use of Factor eXpress! CAN FACTOR 24,000,000 IN THE TIME THAT IT TAKES THE NEXT FASTEST PROGRAM TO FACTOR 20,000,000. ; factor.zip, 1k, 01-01-29, A simple program to find all the factors of a positive, whole number. ; fastfactorfinder.zip, 1k, 10-05-14, Finds the prime factorization of any number of any size — fast! ; fastfactor.zip, 1k, 03-08-22, Finds the integer factors of a number. Fast and efficient. ; fastprimefactorer.zip, 1k, 08-11-30, Sometimes it's very useful to know a number's prime factorization. This program will take an integer you enter and break it down into its prime factors, and it will do this very quickly. ; hggfactor.zip, 2k, 01-06-14, This Program will find the factors of an integer, the prim factors of an integer, checks an integer for being prim, factorizes quadratic equations and reduces square roots. All functions are fast and esay to access. The program is only 2250 bytes. ; integerfactorer.zip, 4k, 22-01-21, This program can find all factors of a number, and can also produce the prime factorization of said number. See the Readme for more information. ; isitprime.zip, 1k, 11-02-14, How to use: Run it by pressign PRGM and then choosing 'PRIME' It will ask you for an input and you enter a number you want to test (is it prime or not) It will then return 'YES' if prime and 'NO' if not prime. www.davidgom.co.cc ; isprime_83.zip, 1k, 11-02-18, This program was made by David Gomes and shall not be released without his permission. How to use: Run it by pressign PRGM and then choosing 'PRIME' It will ask you for an input and you enter a number you want to test (is it prime or not) It will then return 'YES' if prime and 'NO' if not prime. Thanks Zeda for optimizing it! www.davidgom.co.cc ; isprime.zip, 7k, 06-05-14, A fast routine to test the primality of a number. ; isxprime3.zip, 3k, 11-09-29, The fastest prime checker without using any lists of any sort. Will tell you its smallest factor if it is composite. ; matprime.zip, 1k, 03-06-02, when you input a number from 1-999 it will find that many prime numbers, and will store them to listPRIME ; mcfactor.zip, 1k, 05-08-10, This is a great program for school. It figures out the factors of numbers. It shows you the ones it figures out as it goes along and then lets you scroll thorough them when it's done. Just don't put in huge numbers, like 500, or it will take forever! ; modfactr.zip, 317k, 20-02-03, This program finds the factors of any positive integer. It takes about 10 seconds to determine that 1,000,003 is prime, and about 3 seconds to find the factors of 1,000,009. MODFACTR is based on my earlier program FACTOR (at https://www.ticalc.org/archives/files/fileinfo/471/47178.html ) ; modfac.zip, 317k, 20-02-03, This program finds the factors of any positive integer. It takes about 7 seconds to determine that 1,000,003 is prime, and about 2 seconds to find the factors of 1,000,009. MODFACT is based on my earlier program FACTOR (at https://www.ticalc.org/archives/files/fileinfo/471/47178.html ) ; myprime.zip, 1k, 07-09-05, A simple BASIC program entered on the calculator that tells if a number is composite or prime. Briefly tested (one composite seven digit number) vs. "Prime Tester" (http://www.ticalc.org/archives/files/fileinfo/328/32864.html), "Prime Number Generator" (http://www.ticalc.org/archives/files/fileinfo/300/30076.html), and "Prime Factorization" (http://www.ticalc.org/archives/files/fileinfo/218/21812.html) and is faster than all of them. ; numfact.zip, 1k, 04-02-17, Really useful number factoring program. ; pd.zip, 1k, 04-08-19, Using a combination of divisibility tests and methods inspired by fermat factorization, this program can find the prime decomposition of a number with remarkable speed and efficiency. Fermat factorization is usefull for factoring large numbers that are known to be the product of two primes relativly close to the square root. For example, this program factors 12240467203 into 100003*122401 in around 10sec. This updated version is more memory efficient than the original. ; pfactors.zip, 1k, 01-08-05, Find the prime factors of any positive integer. ; pfact.zip, 1k, 05-07-23, PlanMath prime factorization program by Planetar. ; pf.zip, 1k, 00-10-13, prgmPRIME creates a list of 999 prime numbers using prgmPRIME2 as a subprogram. This takes around 25 minutes. prgmFACTORS executes prime factorization using the list (expressions are okay); it shows the value of the number entered. ; png.zip, 3k, 03-08-04, The program will test a nubmer for being prime or generate a list of primes up to 999 primes. Will test prime numbers 2 to 999999937. ; pnu.zip, 1k, 12-02-08, The Prime Number Utility has two main parts: The Prime Number Tester and the Prime Number Lister. The Prime Number Tester allows you to enter in any number, and it will tell you whether that number is prime or not. The time it takes depends on how big the number is. You then have the option to factorise that number or not. The factorising algorithm isn't particularly fast, but it does work, if you are willing to wait for it. I wouldn't recommend trying to factorise anything over 3 digits, beacause it will take a long time and most likely run out of memory. The Prime Number Lister allows you to create a list of prime numbers up to a number that you specify. The only limit on how many primes you can generate is the amount of memory your calculator has. The Lister will also store the primes into a list for you to work with. IMPORTANT: I have just fixed a glitch where it would think that composite numbers like 17711 (89x199) are prime. I have also fixed another glitch where if the lower factor of a number is an even number greater than two, the factor and its pair would not appear in the list of factors. If you are not using the latest version, please update! ; porc.zip, 1k, 02-10-23, PORC is a program that you can use to test and see whether a number is prime or composite. The only downfall to this program is that the larger your number is, especially if it is prime, it takes the calculator longer to tell you whether the number is prime or composite. This program however works really well with the numbers that I use! ; posfacto.zip, 4k, 04-02-09, This program show all factors to get the number you put in. It display, too, if it's a prime. POSFACTO is only 237 big. ; ppt.zip, 1k, 04-08-20, This program is based on Fermat's theorem. You enter a number P and a base A such that (P,A)=1. If P fails for any base than it is composite. If P passes than it is probably prime. A prime will pass for all bases. The program can handle numbers up to around 2000000. It can prove 2029039=1013*2003 is composite in less than 3sec! Under 200 bytes ; prfactor.zip, 1k, 05-09-08, This was so fun to make. This will tell you the prime factors of any number you put in. Obvious, big numbers [telephone numbers.] will take a LONG time, but smaller numbers [and some larger numbers.] take about 10 seconds. Email me if you have any problems. ; primality.zip, 7k, 05-12-01, My first program, it checks whether or not a number is prime or composite; in other words, its primality. ; prime_13.zip, 1k, 09-06-10, This amazing machine will generate a list of prime numbers faster than any other program on the market. It's a great way to pass countless hours in math class! If you don't believe me...try it for yourself!!! Unlike other programs, this one has been tested extensively and is made for convenience. ; prime2.zip, 1k, 00-06-06, Will finds all prime factors of a number ; prime3.zip, 1k, 00-09-22, This program tests to see if a number is prime or not. ; prime4.zip, 1k, 02-02-21, For any positive integer the program returns ; prime_58.zip, 1k, 21-07-28, This program will determine whether a certain number is prime. If it isn't it will display the closest prime number. ; prime83.zip, 1k, 00-06-08, ATTENTION ALL ALGEBRA STUDENTS!!! This program is self explaintory. You enter in a number and it determines if a number is prime or not. Then finds the two simpliest numbers (e.g. the simpliest multiples of 150 are 10 and 15; the simpliest multiples of 300 are 15 and 20; a simpliest multipleis the smallest sum of two multiples; the simpliest multiple of 100 is 10 and 10. It is not 1 and 100 or 2 and 50 etc because 10+10=20, 1+100=101, 2+50=52; 20 is the lowest number) that multiply to the inputted number. It tells the time remaining when it is trying to find the multiples, and it also tells you the numbers that divide evenly into the number that are under 20. DOWNLOAD!!! BUG FREE!!! ; primea6.zip, 1k, 12-01-31, This is the best prime checker I have made. It is extremely fast if the number has two big prime factors, and very fast in every other way. Only 240 bytes. ; primeadv.zip, 1k, 10-04-04, Check if a number is prime. This is generation 2 prime checking program. It utilizes multi-threading and can check all numbers in range in no more than a minute (tested on TI-84 Plus SE), a bit more for numbers closer to the large end of the range. This is one of the fastest brute force prime checkers programmed using TI-Basic. This is the export version and more informative during the processing, it is slightly slower than the competition version but much faster than the generation 1 checkers. ; primebp.zip, 2k, 11-10-06, APRIMEBP: This is the Brent-Pollard rho algorithm. It is a monte carlo method for factoring composite numbers. Its speed varies because some of the constants are randomized, so the time differs for the same number. In average though, it is a very fast algorithm. It will only give you one factor, which won't always be the smallest one. APRIMEP: This is Pollards monte carlo method which Brent improved upon. It's a lot simpler, but a bit slower. Brent says that he's algorithm is about 24% faster, and that seems correct. APRIMBPT: This is a simplification of Brent's algorithm for which I am responsible. It is not as fast, but it seems to fail less often, ( i.e. retreat to using Pollard's algorithm ). ; primec1.zip, 1k, 11-04-02, This program is a version of PrimeC that doesn't skip END-commands, wich is useful when you don't have much memory left. Skipping those will consume a lot of memory: up to more than 100 bytes for each one. Tricky numbers will then give you an ERR: MEMORY message, and hence stop your calculation. Not so with this version. You need to run PRCINST first. ; primecalc.zip, 1k, 13-04-12, it will just calculate all Primes until you end it! ; prime_checker.zip, 1k, 11-04-01, This program will tell if a number is prime or not. Updated version is faster and more efficient. ; primechecker.zip, 1k, 09-11-07, A simple but fast and powerful program that checks if a number is prime or not. If not, it gives you the first factors. ; primecheck.zip, 1k, 03-12-22, Insert a number, and the program tells you if it is prime or not prime. If it is not prime, it will give you a pair of factors. E-mail Me at [email protected] or AIM me @ zekecoasterfreak (if you e-mail me, please include something like "TI-Programs" in the subject line) -Feel Free To Share This Release .. Make Sure I Receive Credit!- ; primechk.zip, 1k, 06-09-08, This is the fastest prime checker available for the 83. I've checked the rest, and this one beats them all. The key is that it doesn't check if numbers like 9, 15, 21, etc. divide the number in question. This program ends up checking 1/3 fewer possible divisors compared to most other programs. If the number is composite, it lists a divisor. ; primec.zip, 4k, 11-04-02, Three of the fastest prime factor programs for the 83/84 Plus. They use lists with 48 numbers to speed up the process. The later ones also uses another list with eight numbers, to search for numbers within the larger list. ; primefactor83p.zip, 1k, 09-11-02, A super-fast, super-small prime factorization program. It's the fastest in its "weight class" at 103(?) bytes. Nothing fancy, it just does what it's supposed to. ; primefactorization.zip, 1k, 03-10-19, Does prime factorization on a number very quickly! ; primefactor.zip, 1k, 03-03-07, Find all the prime factors of a number. ; primefast.zip, 1k, 03-03-21, This program is the fastest basic primality tester. It can handle any number the calc can handle. All algorithms are designed with maximal optimization.
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I was solving a physics problem using lots of replacements for some expressions to get a manageable equation. Finally I got my answer, but it looked more like a waterfall than an actual...
Our accounts receivable factoring program can be an essential source of financing for businesses undergoing a restructuring where recovery is constrained by inadequate working capital. Factoring: F...
➗ Trial Factoring program using OpenCL for GIMPS. Contribute to primesearch/mfakto development by creating an account on GitHub.