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024 7 _ |a 10.1142/S0129183196000533
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024 7 _ |a 1793-6586
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037 _ _ |a FZJ-2019-01113
082 _ _ |a 530
100 1 _ |a GLÄSSNER, UWE
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245 _ _ |a HOW TO COMPUTE GREEN'S FUNCTIONS FOR ENTIRE MASS TRAJECTORIES WITHIN KRYLOV SOLVERS
260 _ _ |a Singapore [u.a.]
|c 1996
|b World Scientific
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520 _ _ |a The availability of efficient Krylov subspace solvers plays a vital role in the solution of a variety of numerical problems in computational science. Here we consider lattice field theory. We present a new general numerical method to compute many Green's functions for complex non-singular matrices within one iteration process. Our procedure applies to matrices of structure A = D − m, with m proportional to the unit matrix, and can be integrated within any Krylov subspace solver. We can compute the derivatives x(n) of the solution vector x with respect to the parameter m and construct the Taylor expansion of x around m. We demonstrate the advantages of our method using a minimal residual solver. Here the procedure requires one intermediate vector for each Green's function to compute. As real-life example, we determine a mass trajectory of the Wilson fermion matrix for lattice QCD. Here we find that we can obtain Green's functions at all masses ≥ m at the price of one inversion at mass m.
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700 1 _ |a GÜSKEN, STEPHAN
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700 1 _ |a LIPPERT, THOMAS
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700 1 _ |a RITZENHÖFER, GERO
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700 1 _ |a SCHILLING, KLAUS
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700 1 _ |a FROMMER, ANDREAS
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773 _ _ |a 10.1142/S0129183196000533
|g Vol. 07, no. 05, p. 635 - 644
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|p 635 - 644
|t International journal of modern physics / C Computational physics and physical computation C
|v 07
|y 1996
|x 1793-6586
909 C O |p extern4vita
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