AbstractThe Leverrier–Chebyshev algorithm is presented. It is an extension of the Leverrier–Fadeev algorithm for simultaneous computation of the adjoint B(μ) and determinant a(μ) of the singular pencil μE−A, where E is singular, but det(μE−A)≢0. We express the B(μ) and a(μ) relative to a basis of orthogonal Chebyshev polynomial, and as such solve a problem of S. Barnett
AbstractWe consider the function f(t) defined byf(t)=tlogt−t+1log2t.Firstly we shall show direct and...
AbstractWe study the Kolmogorov m-widths dm(Bsα(Lτ,μ),Lp,μ) and the linear m-widths δm(Bsα(Lτ,μ),Lp,...
AbstractIn this note, we determine the action of the first differential in the Atiyah–Hirzebruch spe...
AbstractWe say that a matrix R∈Cn×n is k-involutory if its minimal polynomial is xk-1 for some k⩾2, ...
AbstractIn this paper, we establish existence results for positive solutions for the (n−1,1) three-p...
AbstractIn this paper, we consider second order elliptic problems with rapidly oscillating coefficie...
AbstractLet Δ be a finite set of nonzero linear forms in several variables with coefficients in a fi...
AbstractA capital letter means n×n matrix. Very recently, Fujii et al. show: For every A,B⩾0 and p⩾1...
AbstractIn this paper, by using linear programming under weak conditions, we improve the Greub–Rhein...
AbstractAn upper bound estimate of high-dimensional Cochrane sums is given in this note using Weinst...
International audienceThe class of complexsymmetric functions contains the Stieltjes functions. The ...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
AbstractWe prove the spectral radius inequality ρ(A1∘A2∘⋯∘Ak)⩽ρ(A1A2⋯Ak) for nonnegative matrices us...
AbstractIn this paper, we introduce the generalized shift operator generated by the Gegenbauer diffe...
AbstractLet sn=1+1/2+⋯+1/(n−1)−logn. In 1995, the author has found a series transformation of the ty...
AbstractWe consider the function f(t) defined byf(t)=tlogt−t+1log2t.Firstly we shall show direct and...
AbstractWe study the Kolmogorov m-widths dm(Bsα(Lτ,μ),Lp,μ) and the linear m-widths δm(Bsα(Lτ,μ),Lp,...
AbstractIn this note, we determine the action of the first differential in the Atiyah–Hirzebruch spe...
AbstractWe say that a matrix R∈Cn×n is k-involutory if its minimal polynomial is xk-1 for some k⩾2, ...
AbstractIn this paper, we establish existence results for positive solutions for the (n−1,1) three-p...
AbstractIn this paper, we consider second order elliptic problems with rapidly oscillating coefficie...
AbstractLet Δ be a finite set of nonzero linear forms in several variables with coefficients in a fi...
AbstractA capital letter means n×n matrix. Very recently, Fujii et al. show: For every A,B⩾0 and p⩾1...
AbstractIn this paper, by using linear programming under weak conditions, we improve the Greub–Rhein...
AbstractAn upper bound estimate of high-dimensional Cochrane sums is given in this note using Weinst...
International audienceThe class of complexsymmetric functions contains the Stieltjes functions. The ...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
AbstractWe prove the spectral radius inequality ρ(A1∘A2∘⋯∘Ak)⩽ρ(A1A2⋯Ak) for nonnegative matrices us...
AbstractIn this paper, we introduce the generalized shift operator generated by the Gegenbauer diffe...
AbstractLet sn=1+1/2+⋯+1/(n−1)−logn. In 1995, the author has found a series transformation of the ty...
AbstractWe consider the function f(t) defined byf(t)=tlogt−t+1log2t.Firstly we shall show direct and...
AbstractWe study the Kolmogorov m-widths dm(Bsα(Lτ,μ),Lp,μ) and the linear m-widths δm(Bsα(Lτ,μ),Lp,...
AbstractIn this note, we determine the action of the first differential in the Atiyah–Hirzebruch spe...
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