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Thermomechanical fatigue tests of laser beam powder bed fusion (PBF‐LB) Inconel 718 show that the additively manufactured material reaches almost the lifetimes of conventionally‐rolled material under no‐dwell conditions. Introducing dwell times at the maximum temperature markedly reduces the lifetimes due to pronounced grain boundary sliding associated
Stefan Guth +6 more
wiley +1 more source
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Optimal Conditioning of Bernstein Collocation Matrices
SIAM Journal on Matrix Analysis and Applications, 2010Some results on the optimal conditioning of the collocation matrices of the Bernstein basis are provided. Numerical examples illustrate the results.
Juan Manuel Pena, Jorge Delgado
exaly +2 more sources
Matrices, Norms and Conditioning
Problem Books in Mathematics, 2014To measure the size of vector and matrices we use norms. In this chapter, we introduce and study three vector norms and define and use the corresponding matrix norms. One of the goals is to estimate a bound on the error in the solution \(\boldsymbol{x}\) of a linear system \(\boldsymbol{A}\boldsymbol{x} = \boldsymbol{b}\) when there exists an ...
Jean-Louis Merrien +2 more
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Preprints of papers presented at the 14th national meeting of the Association for Computing Machinery on - ACM '59, 1959
exaly +4 more sources
exaly +4 more sources
Optimal Conditioning of Matrices
SIAM Journal on Numerical Analysis, 1973The optimal condition number c of a matrix S is the minimum, over all diagonal matrices D, of $\| {DS} \|\| {(DS)^{ - 1} } \|$. It arises in many applications of scaling in linear systems, and has been computed in the maximum norm by Bauer. In the $\ell _2 $-norm, we establish the inequalities $b \leqq c \leqq 2b$ and disprove—by an example of order ...
McCarthy, Charles, Strang, Gilbert
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Melnikov’s Conditions in Matrices
Journal of Dynamics and Differential Equations, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qian, Weichao, Li, Yong, Yang, Xue
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Sufficient conditions for H-matrices
International Journal of Computer Mathematics, 2005In this article, several new simple criteria for nonsingular H-matrices are obtained by making use of elements of matrices only. A necessary condition for nonsingular H-matrices is also presented.
Tai-Bin Gan +3 more
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Conditioning of structural stiffness matrices
Computers & Structures, 1997Abstract The popularity of the stiffness method of structural analysis is due to its simplicity and amenability to a computer. In this method, special cut set basis, known as cocycle basis, is usually employed for constructing equilibrium equations.
A. Kaveh, I. Ghaderi
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