Results 61 to 70 of about 1,121,911 (166)
Generalized Schur functions and augmented Schur parameters [PDF]
, 2005 Every Schur function s(z) is the uniform limit of a sequence of finite Blaschke products on compact subsets of the open unit disk. The Blaschke products in the sequence are defined inductively via the Schur parameters of s(z).
Wanjala, Gerald, Dijksma, Aad
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Protein Science, Volume 35, Issue 9, September 2026.Abstract Cryo‐electron tomography (cryo‐ET) enables structural characterization of biomolecules under near‐native conditions. Existing approaches for interpreting the resulting three‐dimensional volumes are computationally expensive and have difficulty interpreting density associated with small proteins/complexes.
Chengxuan Li +9 more
wiley +1 more source
Manifestations of the Schur complement [PDF]
, 1974 This expository paper describes the ways in which a matrix theoretic construct called the Schur complement arises. Properties of the Schur complement are shown to have use in computing inertias of matrices, covariance matrices of conditional ...
Cottle, Richard W., Richard W. Cottle
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The probability of generating finite and profinite groups
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract Famously, every finite simple group G$G$ can be generated by a pair of elements. Moreover, Liebeck and Shalev (1995) proved that the probability that a pair of elements generate G$G$ tends to 1 as |G|→∞$|G| \rightarrow \infty$. In this paper, we generalize this theorem of Liebeck and Shalev. Work of Lucchini and Menegazzo (1997) implies that a
Scott Harper, Martyn Quick
wiley +1 more source
Cauchy identities for staircase matrices
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin +2 more
wiley +1 more source
Pieri's formula for generalized Schur polynomials [PDF]
, 2007 Young's lattice, the lattice of all Young diagrams, has the Robinson-Schensted-Knuth correspondence, the correspondence between certain matrices and pairs of semi-standard Young tableaux with the same shape.
Yasuhide Numata, Numata, Yasuhide
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Tree metrics and log‐concavity for matroids
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract We show that a set function ν$\nu$ satisfies the gross substitutes property if and only if its homogeneous generating polynomial Zq,ν$Z_{q,\nu }$ is a Lorentzian polynomial for all positive q⩽1$q \leqslant 1$, answering a question of Eur–Huh.
Federico Ardila‐Mantilla +5 more
wiley +1 more source
On Preconditioning Schur Complement and Schur Complement Preconditioning [PDF]
, 2000 We study two implementation strategies to utilize Schur complement technique in multilevel recursive incomplete LU preconditioning techniques (RILUM) for solving general sparse matrices.
Zhang, Jun
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On Elliott's conjecture and applications
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract Let f:N→D$f:\mathbb {N}\rightarrow \mathbb {D}$ be a multiplicative function. Under the merely necessary assumption that f$f$ is nonpretentious (in the sense of Granville and Soundararajan), we show that for any pair of distinct integer shifts h1,h2$h_1,h_2$, the two‐point correlation 1x∑n⩽xf(n+h1)f¯(n+h2)$$\begin{equation*} \frac{1}{x}\sum _ ...
Oleksiy Klurman +2 more
wiley +1 more source
On generalized Schur complement of nonstrictly diagonally dominant matrices and general H-matrices
The Electronic Journal of Linear Algebra, 2012 This paper proposes the definition of the generalized Schur complement on nonstrictly diagonally dominant matrices and general H−matrices by using a particular generalized inverse, and then, establishes some significant results on heredity, nonsingularity and the eigenvalue distribution for these generalized Schur complements.
Cheng-Yi Zhang +3 more
openaire +1 more source