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Interval matrices: Regularity generates singularity
It is proved that regularity of an interval matrix implies singularity of four related interval matrices. The result is used to prove that for each nonsingular point matrix A, either A or A^-1 can be brought to a singul...
Applied mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Two-mass dynamical system with singular stiffnes matrix
In this paper the solution of two-mass symmetric dynamical system with singular stiffnes matrix via the state space formulation is given. The coefficient matrix is non-diagonalizable. The terminology problems concerning eig...
BI - Akustika a kmity
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
Singularities in measurement in traverse
Modelling of geodetical problems can leads to singular models. A design matrix has not full column rank or a covariance matrix is only positive semidefinite. A problem of estimability of mean value parameters is considered....
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
One singular multivariate linear model with nuisance parameters
The singular multivariate linear model in which the matrix of the first order parameters is divided into two parts: to the matrix of the useful parameters and to the matrix of the nuisance parameters is considered....
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A Stability Test for Linear Singular Systems
In this paper we study a stability test for linear singular systems of transformation of a system matrix using semi-inverse and pseudo-inverse matrices. The final system matrix is full rank matrix, containing all n...
BC - Teorie a systémy řízení
- 2012 •
- O
Rok uplatnění
O - Ostatní výsledky
Zero singular values of parameter dependent matrices
The branches of selected singular values and the relevant left/right singular vectors of a parameter dependent rectangular matrix are considered. The case that the branch contains a zero singular value is analyzed ...
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Decomposition of an updated correlation matrix via hyperbolic transformations
An algorithm for hyperbolic singular value decomposition of a given complex matrix based on hyperbolic Householder and Givens transformation matrices is described in detail. The main application of this algorithm is a decomposition ...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Optimal singular correlation matrices estimated when sample size is less than the number of random variables
) Nvar. In such cases the estimated correlation matrix cannot be positive definite and must be singular. However, the correlation matrix may be required to be as close to the unit matrix as possible (optimal). The ...
BB - Aplikovaná statistika, operační výzkum
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Diagonally Singularizable Matrices
A square matrix A is called diagonally singularizable if | A - S | <= I holds for some singular matrix S (I is the identity matrix). The paper brings several necessary and/or sufficient conditions for diagonal sin...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A pathfollowing technique for the analytic singular value decomposition
The aim is to compute the analytic singular value decomposition for a few selected singular values/vectors. The proposed method is suitable for large sparse matrix valued functions....
BA - Obecná matematika
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
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