By A.K. Jaiswal, Anju Khandelwal
Salient good points of this paintings contain: mathematical derivation of every approach is given to construct the scholars realizing of numerical research; a number of solved examples are given; computing device courses for the majority numerical equipment mentioned were awarded in 'C' language; mistakes research for the majority tools are provided; every one bankruptcy starts with an creation of involved subject; and, workout questions provide a chance to the scholars to check their knowing of the options.
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Extra resources for A Textbook of Computer Based Numerical and Statistical Techniques
5671433] 7. Solve x – 9x + 1 = 0 for the root between x = 2 and x = 4 by the method of Bisection. U. 2005) [Ans. 94282] 3 8. Compute the root of log x = cos x correct to 2 decimal places using Bisection Method. [Ans. 5121375] 9. 1 using Bisection Method. [Ans. 02875625] 10. Use the Bisection Method to find out the positive square root of 30 correct to 4 decimal places. [Ans. 5 FALSE POSITION METHOD (OR REGULA FALSI METHOD) This method is essentially same as the bisection method except that instead of bisecting the interval.
The largest finite floatingpoint number is called the overflow threshold. When the exponent has its smallest possible value (all zero), the significand may have leading zeros, and is called either subnormal or de-normal (unless it is exactly zero). The subnormal floating-point numbers represent very tiny numbers between the smallest nonzero normalized floating-point number (the underflow threshold) and zero. An operation that underflows yield a subnormal number or possibly zero; this is called gradual underflow.
A) – (b) – (c) 3. (a)/(c) 4. (a)(b)/(c) 5. (a) – (b) [Ans. 1. 2585e1 4. 3717e–8 6. (b)/(c) (a) 2. 2581e1 3. 7511e–8 5. 1663e–3 6. 1823e3] 33 ERRORS AND FLOATING POINT 10. Give example to show that most of the laws of arithmetic fail to hold for floating-point arithmetic. 11. 8e – 4 = 0. Work in floating-point arithmetic using a four decimal place mantissa. [Ans. 2 e–3] 12. Give the normalized floating-point representation for the following: 1. 22/7 2. 75 3. 01 4. 9 3 8 5. – 3 64 6. 3/6 [Ans. 1.
A Textbook of Computer Based Numerical and Statistical Techniques by A.K. Jaiswal, Anju Khandelwal