Part of the Analysis Commons

Works by William F. Trench in Analysis

2014

An unnoticed consequence of Szego's distribution theorem, William F. Trench
William F. Trench

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2011

Characterization and properties of $(R,S_\sigma)$-commutative matrices, William F. Trench
William F. Trench

Characterization and properties of $(R,S_\sigma)$-commutative matrices, William F. Trench
William F. Trench

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2010

Asymptotic preconditioning of linear homogeneous systems of differential equations, William F. Trench
William F. Trench

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2008

On nonautonomous linear systems of differential and difference equations with $R$-symmetric coefficient matrices, William F. Trench
William F. Trench

Properties of multilevel block $\alpha$-circulants, William F. Trench
William F. Trench

2007

Characterization and properties of matrices with k-involutory symmetries, William F. Trench
William F. Trench

2005

Functional perturbations of nonoscillatory second order difference equations, William F. Trench
William F. Trench

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Absolute equal distribution of the eigenvalues of discrete Sturm-Liouville problems, William F. Trench
William F. Trench

2004

Multilevel matrices with involutory symmetries and skew symmetries, William F. Trench
William F. Trench

Asymptotic relationships between singular values of structured matrices similarly generated by different formal expansions of a rational function, William F. Trench
William F. Trench

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Characterization and properties of $(R,S)$-symmetric, $(R,S)$-skew symmetric, and $(R,S)$-conjugate matrices, William F. Trench
William F. Trench

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2003

An elementary note on asymptotic properties of Toeplitz and multilevel Toeplitz matrices, William F. Trench
William F. Trench

Simplification and strengthening of Weyl's definition of asymptotic equal distribution of two families of finite sets, William F. Trench
William F. Trench

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Minimization problems for (R,S)-symmetric and (R,S)-skew symmetric matrices, William F. Trench
William F. Trench

Hermitian, Hermitian R-symmetric, and Hermitian R-skew symmetric Procrustes problems, William F. Trench
William F. Trench

Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry, William F. Trench
William F. Trench

2002

Linear perturbations of a nonoscillatory second order differential equation II, William F. Trench
William F. Trench

Absolute equal distribution of families of finite sets, William F. Trench
William F. Trench

Absolute equal distribution of the spectra of Hermitian matrices, William F. Trench
William F. Trench

A note on asymptotic zero distribution of orthogonal polynomials, William F. Trench
William F. Trench

Spectral distribution of Hermitian Toeplitz matrices formally generated by rational functions, William F. Trench
William F. Trench

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2001

Asymptotically constant solutions of functional difference systems, William F. Trench
William F. Trench

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Equaciones Differenciales con Problemas de Valores en la Frontera, William F. Trench
William F. Trench

1999

Systems of difference equations with asymptotically constant solutions, William F. Trench
William F. Trench

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1998

Invertibly convergent infinite products of matrices, William F. Trench
William F. Trench

Linear asymptotic equilibrium for nilpotent systems of difference equations, William F. Trench
William F. Trench

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Conditional convergence of infinite products, William F. Trench
William F. Trench

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1997

Trench's canonical form for a disconjugate $n$th-order linear difference equation, William F. Trench, Bennette Harris, Robert Krueger
William F. Trench

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1996

Numerical solution of the inverse eigenvalue problem for real symmetric Toeplitz matrices, William F. Trench
William F. Trench

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1994

Invertibly convergent infinite products of matrices, with applications to difference equations, William F. Trench
William F. Trench

Asymptotic behavior of solutions of asymptotically constant coefficient system of linear differential equations, William F. Trench
William F. Trench

1992

Asymptotic behavior of solutions of Poincar'e difference equations, William F. Trench
William F. Trench

Interlacement of the even and odd spectra of real symmetric Toeplitz matrices, William F. Trench
William F. Trench

1991

Global solutions of nonlinear differential equations, William F. Trench
William F. Trench

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Mild integrability conditions for global solutions of an elliptic equation, William F. Trench
William F. Trench

Asymptotic behavior of solutions of a linear second order difference equation, William F. Trench
William F. Trench

1990

Asymptotic behavior of solutions of functionally perturbed nonoscillatory second order differential equations, William F. Trench
William F. Trench

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1989

Efficient application of the Schauder-Tychonoff theorem to systems of functional differential equations, William F. Trench
William F. Trench

1988

Existence of solutions of functional-differential systems with prescribed asymptotic behavior, William F. Trench
William F. Trench

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General functional differential systems with asymptotically constant solutions, William F. Trench
William F. Trench

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Systems of functional differential equations with asymptotically constant solutions, William F. Trench, T. Kusano
William F. Trench

Numerical solution of the eigenvalue problem for symmetric rationally generated Toeplitz matrices, William F. Trench
William F. Trench

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Toeplitz systems associated with the product of a formal Laurent series and a Laurent polynomial, William F. Trench
William F. Trench

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Asymptotic integration of a perturbed constant coefficient differential equation under mild integral smallness conditions, William F. Trench
William F. Trench

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1986

Existence and nonoscillation theorems for an Emden-Fowler equation with deviating argument, William F. Trench
William F. Trench

Global existence of nonoscillatory solutions of perturbed general disconjugate equations, William F. Trench, T. Kusano
William F. Trench

1985

Extensions of a theorem of Wintner on systems with asymptotically constant solutions, William F. Trench
William F. Trench

1984

On $t_\infty$ quasi-similarity of linear systems, William F. Trench
William F. Trench

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Eventual disconjugacy of a linear differential equation II, William F. Trench
William F. Trench

Linear perturbations of general disconjugate equations, William F. Trench
William F. Trench

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Functional perturbations of second order differential equations, William F. Trench
William F. Trench

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Existence of global solutions with prescribed asymptotic behavior for nonlinear differential equations, William F. Trench
William F. Trench

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1983

Asymptotics of differential systems with deviating arguments, William F. Trench
William F. Trench

Asymptotic behavior of solutions of an n-th order differential equation, William F. Trench
William F. Trench

Asymptotic theory of perturbed general disconjugate equations II, William F. Trench
William F. Trench

1982

Asymptotic integration of $y^(n) +p(t)y^gamma =f(t)$ under mild integral smallness conditions, William F. Trench
William F. Trench

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1980

Limits of certain sequences associated with cylinder functions, William F. Trench
William F. Trench

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An oscillation condition for differential equations of arbitrary order, William F. Trench
William F. Trench

1979

Interpolating functions associated with second order differential, William F. Trench
William F. Trench

1975

Orthogonal polynomial expansions with nonnegative coefficients, William F. Trench
William F. Trench

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1974

A sufficient condition for eventual disconjugacy, William F. Trench
William F. Trench

Oscillation properties of perturbed disconjugate equations, William F. Trench
William F. Trench

Proof of a conjecture of Askey on orthogonal expansions with positive coefficients, William F. Trench
William F. Trench

1973

Canonical forms and principal systems for general disconjugate equations, William F. Trench
William F. Trench

1972

Nonnegative and alternating expansions of one set of orthogonal polynomials in terms of another, William F. Trench
William F. Trench

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1971

Asymptotic behavior of solutions of Lu=g(t,u,dots,u^(k-1)), William F. Trench
William F. Trench

1966

On the stability of midpoint smoothing with Legendre polynomials, William F. Trench
William F. Trench

1958

On an explicit method for the solution of a Stefan problem, William F. Trench
William F. Trench

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