Using MATLAB functions poly and polyder, compute the relative conditionnumbers of the roots 1, 2, ..., 20 of the Wilkinson polynomial20w(x) = (x1)(x-2)(x - 20) = x²0210x¹⁹+...19with respect to perturbation of the coefficient of 2x¹⁹, a19, from -210 to -210+2-23Present your results in a tabular form and write your conclusion on the ill-conditioninigof the Wilkinson polynomial.(Recall: condition number for the jth root is kj|a₁x²=1|\w'(x₂)

In this question we have to use the MATLAB functions to compute the relative condition numbers of…

Using MATLAB functions poly and polyder, compute the relative condition numbers of the roots ₁, 2,..., 20 of the Wilkinson polynomial w(x) = (x - 1)(x-2)(x-20) = x²0 - 210x¹⁹ +... with respect to perturbation of the coefficient of ¹9, a19, from -210 to -210 + 2-23. Present your results in a tabular form and write your conclusion on the ill-conditioninig of the Wilkinson polynomial. = (Recall: condition number for the jth root is kj |a₁x¹²=-¹| |w'(x₂)|*

Using MATLAB functions poly and polyder, compute the relative condition numbers of the roots ₁, 2,..., 20 of the Wilkinson polynomial w(x) = (x - 1)(x-2)(x-20) = x²0 - 210x¹⁹ +... with respect to perturbation of the coefficient of ¹9, a19, from -210 to -210 + 2-23. Present your results in a tabular form and write your conclusion on the ill-conditioninig of the Wilkinson polynomial. = (Recall: condition number for the jth root is kj |a₁x¹²=-¹| |w'(x₂)|*

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

Construct table of minterms and maxterms for 4 variables - x,y,z,w Obtain the truth table of the following functions, and express each function in sum-of-minterms (canonical SOP) and product-of-maxterms ( canonical POS) form: a) (xy+z)(y+x'z) b) (x+y)(y'+z) c) x'z+wx'y+wyz'+w'y' d) (xy+yz'+x'z)(x+z) Simplify the following Boolean functions T1 and T2 to a minimum number of literals: T2 0 0 0 1 1 1 1 1 A OOO 0 0 0 LLLL 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 اهای 1 T1 1 1 1 0 0 0 0 0
Find the sum-of-products expansions of these Boolean functions. a) F(x,y) = 0 b) F(x,Y) = x
Simplify the following Boolean functions, using three-variable K-maps: F(x, y, z)=Σ(1, 2, 3, 7)
A Boolean function F (A,B,C) of truth table at below（PLS step by step） 1，Provide the minterm expansion of F . 2，Provide the minterm expansion and the maxterm expansion of F’s complement, respectively. Assume that we don’t care the value of F when ABC=001. i. What is the minterm expansion of F? ii. Choose a proper value for the don’t care term and provide the shortest possible expression of POS (product of sum) for F . (Hint: Minimize the number of maxterms)
Using MATLAB Coding, solve the systems of linear equations using matrix algebra involving Gauss-Seidel Method: 6x - 4y + 2z = 2-12x +12y -14z = 14 -6x +8y -8z = 12 Note: Please give comments/guide of the process.
Simplify the following Boolean equation, in product-of-sum form, using a Karnaugh map. F = AB' + A'BC + ABC'
Using Scilab Generate nth degree Taylor Polynomials of f(x)=e-6x about x=-4 for n=2; n=3; n=4; and n=50
PYTHON/JUPYTER NOTEBOOKS Given the following net reaction rate density vector in units of mols/(s ml) r =(0.690351.11066−0.13213−0.886660.13489−0.50093−0.54989). Compute the species production rate density vector, r, and kindly show the results with 5 decimal places and state the units. Explain how you obtained the result and what it means.
Represent the GCDs calculated in Problem 2 as a linear combination of the original numbers. (i.e., GCD (a, b) = s*a + t* b, where s and t could be found using Bezout’s Theorem).
Please make a k-map to simplify the given boolean equation (and list the final simplified expression)(((((Y AND (~Z)) OR ((~Y) AND Z)) OR (~Z)) AND (~(X OR Y))) OR  (~(((Y AND (~Z)) OR ((~Y) AND Z)) OR (~Z))) AND (X OR Y))