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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Numerical comparison of the CGLS and LSQR algorithms
 Mrňák, Petr ; Tichý, Petr (advisor) ; Tůma, Miroslav (referee)
This bachelor thesis deals with the introduction of two mathemati- cally equivalent algorithms, CGLS and LSQR, which can be viewed as versions of the method of conjugate gradients applied to a system of normal equations. This thesis is devoted to their comparison both from a theoretical point of view (showing the relations between vectors and coefficients) and from a practical point of view (the behaviour of both algorithms in finite precision arithmetic). 1
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Numerical comparison of the CGLS and LSQR algorithms
 Mrňák, Petr ; Tichý, Petr (advisor) ; Tůma, Miroslav (referee)
This bachelor thesis deals with the introduction of two algorithms, namely LSQR and CGLS, and then their comparison in the field of theory and the field of practi- cal application and computation. First, it is important to lay the foundations for these algorithms by using conjugate gradients and Lanczos tridiagonalisation. Both algorithms are theoretically equivalent, but in practice it is necessary to distinguish between them which is more appropriate for a given calculation. 1
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