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Matrix representations for vector differential operators in general orthogonal coordinates
Matrix representations for vector differential operators in general orthogonal coordinates...
BM - Fyzika pevných látek a magnetismus
- 2004 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
G-matrices, J-orthogonal Matrices, and their Sign Patterns
Connections are made between the G-matrices and the J-orthogonal matrices. An investigation into the sign patterns of the J-orthogonal matrices is initiated. Some examples and open questions are provided....
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Sign patterns of J-orthogonal matrices
-matrix. In addition, the 3 × 3 sign patterns of the J-orthogonal matrices which haveThis paper builds upon the results in the article G-matrices, J-orthogonal and Rozloznik. A number of further generalnresults on the sign ...
Applied mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Suborthogonality and Orthocentricity of Matrices
We present some results on submatrices of orthogonal and unitary matrices and their relation to so called orthocentric matrices. These are then completely characterized....
BA - Obecná matematika
- 2009 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On generating Sobolev orthogonal polynomials
Sobolev orthogonal polynomials are polynomials orthogonal with respect. They satisfy a long recurrence relation that can be represented by a Hessenberg matrix. The problem of generating a finite sequence of Sobolev orth...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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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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Orthogonal polynomials associated with Coulomb wave functions
A new class of orthogonal polynomials associated with Coulomb wave functions in the theory of Bessel functions. The orthogonality measure for this new class is described in detail. In addition, the orthogonality measure pro...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On Hankel matrices commuting with Jacobi matrices from the Askey scheme
A complete characterization is provided of Hankel matrices commuting with Jacobi matrices which correspond to hypergeometric orthogonal polynomials from the Askey scheme. It follows, as the main result of the paper, that the generalized Hilb...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Spectral representation of some weighted Hankel matrices and orthogonal polynomials from the Askey scheme
are found in the commutant of Jacobi matrices associated with orthogonal polynomials description of the commutant of a Jacobi matrix. Second, we deduce a necessary and sufficient condition for a weighted Hankel matrix comm...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Circulant matrices with orthogonal rows and off-diagonal entries of absolute value 1
It is known that a real symmetric circulant matrix with diagonal entries d ≥ 0, off-diagonal entries ±1 and orthogonal rows exists only of order 2d + 2 of Hermitian circulant matrices having orthogonal rows, diagonal entrie...
Pure mathematics
- 2021 •
- JSC •
- Link
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JSC - Článek v periodiku v databázi SCOPUS
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