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Condition number of matrices derived from two classes of integral equations
Author(s) -
Christiansen S.,
Meister E.
Publication year - 1981
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670030126
Subject(s) - mathematics , integral equation , discretization , independent equation , algebraic equation , simultaneous equations , kernel (algebra) , mathematical analysis , algebraic number , system of linear equations , nonlinear system , pure mathematics , partial differential equation , differential equation , physics , quantum mechanics
We investigate some integral equations, i. a. the so‐called Kupradze functional equations, where the two variables of the kernel belong to two different point sets. An extensive survey of the literature shows the various applications of these equations. By a discretization of the integral equations they are replaced by systems of linear algebraic equations. The condition number of the corresponding matrices is investigated, analytically and numerically. It is thereby quantitatively found in which way the condition of the matrices deteriorates when the two point sets are moved away from each other.