New Algorithms

• New root-bracketing algorithm for single nonlinear equations
• New root-bracketing algorithm for two simultaneous nonlinear equations
• New array sorting algorithm
• New square root algorithm
• New arbitrary root algorithm
• New root-probing algorithms
• Shammas Polynomials
• New approximations for popular inverse statistical distributions
• New approach to multivariable interpolation
• Mixing Numerical Integration Rules
• A New Face of Romberg Integration Graeme Dennes' Excel test file.
• New Scan Range Method for finding multiple roots of single nonlinear equations
• New quadratic Lagrangian integration methodZipped Excel file
• Solving for systems of neo-linear equations
• Euler's constant approximations
• New Bisection Plus root-seeking algorithm Excel file for Bisection Plus.
• New Bisection++ root-seeking algorithm Excel file for Bisection++.
• New Trisection and Trisection Plus root-seeking algorithms Zip file containing Excel file for Trisection and Trisection Plus.
• New Interpolative Trisection root-seeking algorithms Zip file containing Excel file for Interpolative Trisection algorithms.
• New Slope-Oriented Numerical Integration algorithm Excel file for this algorithm.
• New Slope-Oriented ODE Solution algorithm Excel file for this algorithm.
• New random number generator algorithms, part 1, part 2, part 3, Matlab Code
• New Console Programmable RPN Calcutlator Application (CPRCA) click here
• New enhanced iterative solutions for linear equations. click here
• New Ostrowski-Halley root-seeking method. click here
• On convergence rates of root-seeking methods. click here
• New hybrid and open Newton-Cotes integration method. click here
• New Super Secant and Hyper Secant root-seeking methods. click here
• Survey of modified Newton root-seeking methods. click here
• Enhanced African Wild Dogs Algorithm (AWDA) for optimization. click here
• Modified Artificial Cooperative Search (ACS) Algorithm for optimization. click here for the article and click here to download Matlab files
• What Secret the Bisection Method Hides? click here for the article
• New Half-Function Value Quadratic Integration Algorithm click here for the article
• New optimization algorithms to calculate roots of polynomials click here for the article
• New Scout Optimization Algorithm click here for the article and click here to download files
• New Modified Scout Optimization Algorithm click here for the article and click here to download files
• Simulating and Fitting Data for Chemical Reactions click here for the article and click here to download Matlab files (new November 2019)
• More random number generators for calculators click here for the article and click here to download Matlab files (new July 2020)
• Shammas-Polynomials, Fourier-Shammas Series approximation click here for the web page (new September 2020)
• New SopLog function click here to download file (new March 2021)
• Derivatives of Unequally Spaced Points click here to download file (new June 2021)
• Clement 2 Project: Best empirical curve fitting click here to download zip file (new July 2021)
• Fun linear algebra programs for the HP-71B click here to download zip file (new April 2022)
• Project 997 for Pseudo-Random Number Generators click here to open web page (new February 2023)
• New Recursive Evolutionary Optimization Algorithms Strategy click here to download file (new April 2023)
• Quantum Shammas Polynomials, Quantum Shammas Pade Polynomils, Quantum Shammas Fourier Series click here to see download page (new August 2023)
• Rational Shammas Polynomials click here to download PDF file and click here to download ZIP file containing three Excel files (new November 2023)
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