Simulated floating point arithmetic with precision base ten


You will write a function Q R =my gs qr(A,type);

The function my gs qr should take as inputs an m × n real matrix A, with m ≥ n, a number type, whith type equal to 1 or 0, and a number precision, where precision is an integer between 0 and 9, inclusive. The function should return an m × n matrix Q, and the upper triangular n × n matrix R, computed with simulated floating point arithmetic with precision base ten bits (and matlabs internal full precision arithmetic if precision= 0).

If type is 1, the code should use modified Gram-Schmidt, and if type is 0, the code should use classical Gram-Schmidt. All arithmetic operations used in all the computations should be implemented using simulated precision. Use the pseudocode in exercise 5.5.10 of MAALA.

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MATLAB Programming: Simulated floating point arithmetic with precision base ten
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