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Notes on Hilbert and Cauchy Matrices
Inspired by examples of small Hilbert matrices, the author proves a property of symmetric totally positive Cauchy matrices, called AT-property, and consequences for the Hilbert matrix....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A Remark on an Effective Method of Computing the Standard Fundamental matrix
Main topics of the document: matrix linear differential equatuin; standard fundamental matrix; Cauchy problem...
BA - Obecná matematika
- 2011 •
- D
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D - Stať ve sborníku
G-matrices
We define a new type of matrix called G-matrix as a real nonsingular matrix A for which there exist nonsingular diagonal matrices D1 and D2 such that (A-1)T=D1AD2. Many special matrices are G-matrices including (generalized...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Representation of a solution of the Cauchy problem for an oscillating system with two delays and permutable matrices
We represent a solution of an inhomogeneous second-order differential equation with two delays by using matrix functions under the assumption that the linear parts are given by permutable matrices....
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Representation of a solution of the Cauchy problem for an oscillating system with multiple delays and pairwise permutable matrices
Nonhomogeneous system of linear differential equations of second order with multiple different delays and pairwise permutable matrices defining the linear parts is considered. Solution of corresponding initial value problem is represented using m...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Condition number analysis for various forms of block matrix preconditioners
Various forms of preconditioners for elliptic finite element matrices are studied, based on suitable block matrix partitionings. Bounds for the resulting condition numbers are given, including a study of sensitivity to jumps in the coefficie...
JC - Počítačový hardware a software
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Stability and Stabilization of Linear Systems with Aftereffect
The representation of solution of the Cauchy problem for a linear homogeneous differential system with constant coefficients and one constant delay is obtained for the case when the matrixes of a linear part satisfy the commutativit...
BA - Obecná matematika
- 2012 •
- D
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D - Stať ve sborníku
More on G-matrices
The first author and F. J. Hall defined recently a G-matrix as a real nonsingular matrix having the property that the transpose if its inverse can be written as a multiple of the original matrix by nonsingular diagonal matr...
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Combined matrices in special classes of matrices
The combined matrix of a nonsingular matrix A is the matrix A o (A(-1))(T), where o means the Hadamard (entrywise) product. It has simple properties, its row- as well as column-sums are always one, and it is not changed if ...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On rank one connectudness, for planar objective functions.
We give a geometrical treatment of rank one connectedness, for planar objective functions. A decomposition of the Cauchy Green matrix introduces the Poincare half plane, and the non-Euclidean distance between points of the half plan...
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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