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| -rw-r--r-- | Functions/README.md | 24 | ||||
| -rw-r--r-- | README.md | 20 |
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diff --git a/Functions/README.md b/Functions/README.md index a198244..07a3349 100644 --- a/Functions/README.md +++ b/Functions/README.md @@ -105,3 +105,27 @@ The current state of this function is **deprecated**. The algorithm fails comput --- ## [specialMatrix.m](specialMatrix.m) + +# specialMatrix.m +Function returns a special matrix A with the following criteria: +- The value of each element in the first row is the number of the column. +- The value of each element in the first column is the number of the row. +- The rest of the elements each has a value equal to the sum of the element above it and element to the left. +- The function returns a sensible error if the user does not input exactly two arguments. + + Synopsis: `[root, fx, ea, iter] = falsePosition(func, xl, xu, es, maxit, varargin)`. + +## Input +`func` - the function being evaluated. +`xl` - lower bound guess. +`xu` - upper bound guess. +`es` - desired relative error (default 0.0001%) +`maxit` - maximum number of iterations (default 200) +`varargin` - any additional parameters used by the function + + +## Output +`A` - special matrix with the appropriate rules + +## Notes: +This function has not much of a practical application, rather a very good exercise for beginners to get started with the basics of matrix manipulation and user-defined functions. @@ -1,15 +1,17 @@ # mech105-algorithms -Algorithms I created in MECH-105 (2021-Summer-Term). Consists of MATLAB scripts and functions +Algorithms I created in MECH-105 (2021-Summer-Term). Consisting of MATLAB scripts and functions -##Function: -* specialMatrix.m -* falsePosition.m -* luFactor.m -* Heun.m -* simpson.m -* days.m +## Functions: +* specialMatrix.m - function to make special matrix with a specific set of criteria +* falsePosition.m - numberical root finding function +* luFactor.m - LU Decomposition +* Heun.m - Heuns method for solving ODE's +* simpson.m - numerical integration technique +* days.m - computes days elapsed in a year -##Scripts: +## Scripts: * hw2.m * hw3.m * hw11.m + +Note: Detailed information on functions and scripts in their folders. |