Results 251 to 260 of about 120,420 (290)

On Pre-Conditioning of Matrices

Journal of the ACM, 1960
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Optimal Conditioning of Matrices

SIAM Journal on Numerical Analysis, 1973
The 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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Conditioning of structural stiffness matrices

Computers & Structures, 1997
Abstract 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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Sufficient conditions of nonsingular H-matrices

Journal of Shanghai University (English Edition), 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Zhongxi, Huang, Tingzhu, Wang, Guangbin   +2 more
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Conditional negativity of Kwong matrices II

Linear and Multilinear Algebra, 2020
Let f be a positive, continuously differentiable function on (0,α). We consider matrices Kf of the form [(f(pi)+f(pj))/(pi+pj)].
Yuki Numazawa, Takashi Sano
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Conditions for Boundedness of Hankel Matrices

Bulletin of the London Mathematical Society, 1994
The author obtains a new sufficient condition for an infinite Hankel matrix \((a_{i+ j})_{i, j\geq 0}\) to determine a bounded linear operator on a Hilbert space. One form of this condition is that we can write \(a_ k= \lambda_ k \alpha_ k\), with \(\{\lambda_ k\}\) a decreasing sequence in \(\ell^ 2\) and \(\{\alpha_ k\}\) satisfying, for some ...
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Conditioning of coefficient matrices of Ordinary Kriging

Mathematical Geology, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Conditions for nonnegativeness of partitioned matrices

IEEE Transactions on Automatic Control, 1972
Necessary and sufficient conditions for a partitioned matrix to be nonnegative definite and positive definite are derived in terms of its four submatrices.
Kreindler, Eliezer, Jameson, Antony
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Condition numbers for functions of matrices

Applied Numerical Mathematics, 1993
Usual, mixed, and structured condition numbers \(F\) for functions of matrices are considered. A representation of the Fréchet derivatives is obtained for functions \(F(\lambda)\) in the form \[ {F(u)-F(v)\over u-v}=\sum^ m_{k=1}\int^ 1_ 0G_ k(s,u)H_ k(s,v)ds.
Gohberg, I., Koltracht, I.
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Nonnormality and Jordan Condition Numbers of Matrices

Journal of the ACM, 1969
A lower bound for the departure from normality of an n X n matrix A is given. Furthermore, various inequalities are obtained for certain condition numbers associated with the reduction of A to its Jordan canonical form.
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