AbstractUsing an abbreviation eμ to denote the function eiμx on the real line R, let G=[eλ0fe−λ], where f is a linear combination of the functions eα, eβ, eα−λ, eβ−λ with some (0<)α,β<λ. The criterion for G to admit a canonical factorization was established recently by Avdonin, Bulanova and Moran (2007) [1]. We give an alternative approach to the matter, proving the existence (when it does take place) via deriving explicit factorization formulas. The non-existence of the canonical factorization in the remaining cases then follows from the continuity property of the geometric mean
Abstract-Square-root (in particular, Cholesky) factorization of Toeplitz matrices and of their inver...
AbstractWe investigate the permanent of a square matrix over a field and calculate it using ways dif...
Two alternative, fairly compact proofs are presented of the Pfaffian integration theorem that surfac...
AbstractA factorability criterion is obtained constructively, and the respective factorization obtai...
AbstractLet G be an n×nalmostperiodic (AP) matrix function defined on the real line R. By the AP fac...
AbstractA new concept of meromorphic Σ-factorization, for Hölder continuous functions defined on a c...
AbstractWe discuss analytic issues associated with a refinement of triangular factorization for the ...
AbstractA special Infeld–Hull factorization is given for the Askey–Wilson second order q-difference ...
AbstractAn interrelationship between the numerical range of matrix polynomials and its factorization...
AbstractIn this article, we study the representation of a group of automorphisms into the ℓ-adic coh...
AbstractWe present some simple observations on factors of the q-binomial coefficients, the q-Catalan...
17 pages, 2 figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23.In this manuscript we analyze s...
AbstractLet gˆ(ξ)=aeiαξ+b+ce−iβξ with α,β∈]0,1[ such that α+β<1, αβ−1∉Q and a,b,c∈C∖{0}. In this pap...
We consider the numerical solution of nonlinear elliptic boundary value problems with Kansa's method...
AbstractWe obtain an explicit Iwasawa decomposition of the symplectic matrices, complex or real, in ...
Abstract-Square-root (in particular, Cholesky) factorization of Toeplitz matrices and of their inver...
AbstractWe investigate the permanent of a square matrix over a field and calculate it using ways dif...
Two alternative, fairly compact proofs are presented of the Pfaffian integration theorem that surfac...
AbstractA factorability criterion is obtained constructively, and the respective factorization obtai...
AbstractLet G be an n×nalmostperiodic (AP) matrix function defined on the real line R. By the AP fac...
AbstractA new concept of meromorphic Σ-factorization, for Hölder continuous functions defined on a c...
AbstractWe discuss analytic issues associated with a refinement of triangular factorization for the ...
AbstractA special Infeld–Hull factorization is given for the Askey–Wilson second order q-difference ...
AbstractAn interrelationship between the numerical range of matrix polynomials and its factorization...
AbstractIn this article, we study the representation of a group of automorphisms into the ℓ-adic coh...
AbstractWe present some simple observations on factors of the q-binomial coefficients, the q-Catalan...
17 pages, 2 figures.-- MSC2000 codes: Primary 42C05; Secondary 15A23.In this manuscript we analyze s...
AbstractLet gˆ(ξ)=aeiαξ+b+ce−iβξ with α,β∈]0,1[ such that α+β<1, αβ−1∉Q and a,b,c∈C∖{0}. In this pap...
We consider the numerical solution of nonlinear elliptic boundary value problems with Kansa's method...
AbstractWe obtain an explicit Iwasawa decomposition of the symplectic matrices, complex or real, in ...
Abstract-Square-root (in particular, Cholesky) factorization of Toeplitz matrices and of their inver...
AbstractWe investigate the permanent of a square matrix over a field and calculate it using ways dif...
Two alternative, fairly compact proofs are presented of the Pfaffian integration theorem that surfac...