The values for linear shrinkage, permeability to air and thermal shock averaged 8.57% 69.4, and 29 respectively and these also were within the accepted limits.
The values for modulus of rupture and thermal conductivity averaged 81 MN/m2 and 0.494 W/mo K.
Alternative names for this formula are the matrix inversion lemma, Sherman–Morrison–Woodbury formula or just Woodbury formula.
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In this paper we present an analytical forms for the inversion of general periodic tridiagonal matrices, and provide some very simple analytical forms which immediately lead to closed formulae for some special cases such as symmetric or perturbed Toeplitz for both periodic and non-periodic tridiagonal matrices.
This paper addresses the problem of deriving formulas for the Drazin inverse of a modified matrix.
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