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Preserving Positive Definiteness in Hierarchically Semiseparable Matrix Approximations

SIAM Journal on Matrix Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xin Xing, Edmond Chow
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Integral representation of invariant positive-definite matrix kernels

Ukrainian Mathematical Journal, 1970
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samoĭlenko, Yu. S., Korsunskiĭ, L. M.
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Multisplitting of a Symmetric Positive Definite Matrix

SIAM Journal on Matrix Analysis and Applications, 1990
The author considers parallel iterative methods for systems of linear equations \(Au=d\), \(A=A^*>0\). If \(A=B_ k-C_ k\), \(k=1,...,K\) are given splittings of the matrix A then the iterative methods can be written in the form \(u^{n+1}=\sum_{k}D_ kB_ k^{-1}C_ ku^ n+\sum_{k}D_ kB_ k^{-1}d\) where \(D_ k\geq 0\) are diagonal matrices and \(\sum_{k}D_ k=
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Practical criteria for positive-definite matrix, M-matrix and Hurwitz matrix

Applied Mathematics and Computation, 2007
A new simple criterion is presented to verify if a matrix is positive definite, an \(M\)-matrix, or a Hurwitz matrix. It is based on the Gauss row elimination using inner and sign-preserving row operations. The computation of only one determinant is necessary.
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Identification of a Positive Definite Mass Matrix

Journal of Vibration and Acoustics, 1988
In system identification it is important that any a priori information about the system is utilized in the processing of measured data. Structural vibration problems can be modelled in terms of mass, stiffness, and damping and it is usually the case that the mass matrix is positive definite.
John E. Mottershead   +2 more
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