William F. Trench

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Person:182270

Available identifiers

zbMath Open trench.william-fWikidataQ102191477 ScholiaQ102191477MaRDI QIDQ182270

List of research outcomes

PublicationDate of PublicationType
An Unnoticed Consequence of Szegö's Distribution Theorem2015-04-21Paper
Characterization and properties of \((P_\sigma, Q)\) symmetric and co-symmetric matrices2015-03-04Paper
An Elementary View of Weyl’s Theory of Equal Distribution2013-03-06Paper
Characterization and properties of \((R,S_\sigma)\)-commutative matrices2012-05-11Paper
Asymptotic preconditioning of linear homogeneous systems of differential equations2011-03-17Paper
https://portal.mardi4nfdi.de/entity/Q30610502010-12-14Paper
Characterization and properties of matrices with \(k\)-involutory symmetries. II2010-04-29Paper
On nonautonomous linear systems of differential and difference equations with \(R\)-symmetric coefficient matrices2009-10-14Paper
Properties of multilevel block \(\alpha \)-circulants2009-10-09Paper
Properties of unilevel block circulants2009-04-29Paper
Characterization and properties of matrices with \(k\)-involutory symmetries2008-10-06Paper
https://portal.mardi4nfdi.de/entity/Q54876892006-09-11Paper
Absolute equal distribution of the eigenvalues of discrete Sturm--Liouville problems2006-08-04Paper
Asymptotic spectral properties of totally symmetric multilevel Toeplitz matrices2006-07-20Paper
https://portal.mardi4nfdi.de/entity/Q57076772005-11-24Paper
Characterization and Properties of (R,S)-Symmetric, (R,S)-Skew Symmetric, and (R,S)-Conjugate Matrices2005-09-19Paper
Multilevel matrices with involutory symmetries and skew symmetries2005-08-01Paper
Minimization problems for \((R,S)\)-symmetric and \((R,S)\)-skew symmetric matrices2004-11-22Paper
An elementary note on asymptotic properties of Toeplitz and multilevel Toeplitz matrices2004-08-06Paper
Hermitian, Hermitian \(R\)-symmetric, and Hermitian \(R\)-skew symmetric Procrustes problems2004-08-04Paper
Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry.2004-03-29Paper
https://portal.mardi4nfdi.de/entity/Q44225262004-03-08Paper
Characterization and properties of matrices with generalized symmetry or skew symmetry.2004-01-14Paper
A note on asymptotic zero distribution of orthogonal polynomials.2003-12-04Paper
Absolute equal distribution of families of finite sets.2003-05-27Paper
Absolute equal distribution of the spectra of Hermitian matrices2003-05-25Paper
Asymptotically Constant Solutions of Functional Difference Systems2003-04-03Paper
Linear perturbations of a nonoscillatory second order difference equation. II2003-02-11Paper
Linear perturbations of a nonoscillatory second order differential equation II2003-01-28Paper
https://portal.mardi4nfdi.de/entity/Q27847662002-10-10Paper
Spectral distribution of generalized Kac-Murdock-Szegö matrices2002-08-28Paper
Conditional Convergence of Infinite Products2001-11-26Paper
Linear perturbations of a nonoscillatory second order difference equation2001-11-07Paper
Systems of difference equations with asymptotically constant solutions2001-05-01Paper
Asymptotic distribution of the even and odd spectra of real symmetric Toeplitz matrices2000-11-07Paper
https://portal.mardi4nfdi.de/entity/Q44969452000-08-21Paper
Linear Asymptotic Equilibrium of Nilpotent Systems of Linear Difference Equations2000-08-21Paper
Invertibly convergent infinite products of matrices2000-05-29Paper
Linear asymptotic equilibrium and uniform, exponential, and strict stability of linear difference systems2000-01-20Paper
Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices1999-11-29Paper
Numerical Solution of the Inverse Eigenvalue Problem for Real Symmetric Toeplitz Matrices1998-02-10Paper
Invertibly convergent infinite products of matrices, with applications to difference equations1996-09-12Paper
Asymptotic behavior of solutions of asymptotically constant coefficient systems of linear differential equations1996-01-22Paper
https://portal.mardi4nfdi.de/entity/Q48525161995-10-31Paper
Asymptotic behavior of solutions of Emden-Fowler difference equations with oscillating coefficients1994-10-05Paper
Asymptotic behavior of solutions of Poincaré recurrence systems1994-09-21Paper
Some Spectral Properties of Hermitian Toeplitz Matrices1994-09-13Paper
Interlacement of the even and odd spectra of real symmetric Toeplitz matrices1994-06-20Paper
Asymptotic Behavior of Solutions of Poincare Difference Equations1994-01-02Paper
A Note on Computing Eigenvalues of Banded Hermitian Toeplitz Matrices1993-06-29Paper
Asymptotic behavior of solutions of a linear second-order difference equation1992-10-26Paper
Mild integrability conditions for global solutions of an elliptic equation1992-06-28Paper
Explicit weighting coefficients for predicting ARMA time series from the finite past1991-01-01Paper
Numerical solution of the eigenvalue problem for efficiently structured Hermitian matrices1991-01-01Paper
Efficient application of the Schauder-Tychonoff theorem to systems of functional differential equations1990-01-01Paper
A note on a Toeplitz inversion formula1990-01-01Paper
Spectral Evolution of a One-Parameter Extension of a Real Symmetric Toeplitz Matrix1990-01-01Paper
https://portal.mardi4nfdi.de/entity/Q57528901989-01-01Paper
General functional differential systems with asymptotically constant solutions1989-01-01Paper
Numerical Solution of the Eigenvalue Problem for Hermitian Toeplitz Matrices1989-01-01Paper
Systems of Functional Differential Equations with Asymptotically Constant Solutions1988-01-01Paper
Asymptotic Integration of a Perturbed Constant Coefficient Differential Equation under Mild Integral Smallness Conditions1988-01-01Paper
Toeplitz systems associated with the product of a formal Laurent series and a Laurent polynomial1988-01-01Paper
Numerical Solution of the Eigenvalue Problem for Symmetric Rationally Generated Toeplitz matrices1988-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38003991988-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38230671988-01-01Paper
First integrals for equations with nonlinearities of the Emden-Fowler type1987-01-01Paper
A note on solving nearly triangular Toeplitz systems1987-01-01Paper
Global existence of nonoscillatory solutions of perturbed general disconjugate equations1987-01-01Paper
On the eigenvalue problem for Toeplitz matrices generated by rational functions1987-01-01Paper
Characteristic polynomials of symmetic rationally generated toeplitz matrices1987-01-01Paper
Solution of systems with Toeplitz matrices generated by rational functions1986-01-01Paper
Global existence of solutions of mixed sublinear-superlinear differential equations1986-01-01Paper
Linear Perturbations of a Nonoscillatory Second Order Equation1986-01-01Paper
Extensions of a Theorem of Wintner on Systems With Asymptotically Constant Solutions1986-01-01Paper
Existence and Nonoscillation Theorems for an Emden-Fowler Equation With Deviating Argument1986-01-01Paper
On the Eigenvalue Problem for a Class of Band Matrices Including Those with Toeplitz Inverses1986-01-01Paper
Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions1986-01-01Paper
On the eigenvalue problem for Toeplitz band matrices1985-01-01Paper
Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations1985-01-01Paper
On the eigenvalue problem for toeplitz matrices generated by rational functions1985-01-01Paper
Explicit Inversion Formulas for Toeplitz Band Matrices1985-01-01Paper
Functional Perturbations of Second Order Differential Equations1985-01-01Paper
Global Existence Theorems for Solutions of Nonlinear Differential Equations with Prescribed Asymptotic Behaviour1985-01-01Paper
Eventual Disconjugacy of a Linear Differential Equation. II1985-01-01Paper
Asymptotic behavior of solutions of an \(n\)th order differential equation1984-01-01Paper
Asymptotic theory of perturbed general disconjugate equations. II1984-01-01Paper
Asymptotic Integration of Linear Differential Equations Subject to Mild Integral Conditions1984-01-01Paper
Asymptotics of Differential Systems with Deviating Arguments1984-01-01Paper
Eventual Disconjugacy of a Linear Differential Equation1983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33109701983-01-01Paper
Systems of Differential Equations Subject to Mild Integral Conditions1983-01-01Paper
Asymptotic theory of perturbed general disconjugate equations1982-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39376591981-01-01Paper
An Oscillation Condition for Differential Equations of Arbitrary Order1981-01-01Paper
Interpolating Functions Associated with Second-Order Differential Equations1980-01-01Paper
Band matrices with Toeplitz inverses1979-01-01Paper
Asymptotic Integration of Linear Differential Equations Subject to Integral Smallness Conditions Involving Ordinary Convergence1976-01-01Paper
Orthogonal Polynomial Expansions with Nonnegative Coefficients1976-01-01Paper
Proof of a conjecture of Askey on orthogonal expansions with positive coefficients1975-01-01Paper
A Sufficient Condition for Eventual Disconjugacy1975-01-01Paper
Oscillation Properties of Perturbed Disconjugate Equations1975-01-01Paper
Canonical Forms and Principal Systems for General Disconjugate Equations1974-01-01Paper
Inversion of Toeplitz Band Matrices1974-01-01Paper
Nonnegative and Alternating Expansions of One Set of Orthogonal Polynomials in Terms of Another1973-01-01Paper
Strong discrete minimum variance estimation of a polynomial plus random noise1973-01-01Paper
Stability of a Class of Discrete Minimum Variance Smoothing Formulas1972-01-01Paper
Asymptotic behavior of solutions of \(Lu = g(t,u,\dots ,u^{(k-1)})\).1972-01-01Paper
Asymptotic behavior of solutions of perturbed disconjugate equations1972-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32148311972-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56111461971-01-01Paper
Discrete minimum variance smoothing of a polynomial plus random noise1971-01-01Paper
Continuous Smoothing with Polynomial Weighting1970-01-01Paper
Stability of certain differential equations with homogeneous right hand sides1969-01-01Paper
Weighting Coefficients for the Prediction of Stationary Time Series from the Finite Past1967-01-01Paper
On the Stability of Midpoint Smoothing with Legendre Polynomials1967-01-01Paper
Bounds on the Generating Functions of Certain Smoothing Operations1967-01-01Paper
On the Inversion of a Hilbert Type Matrix1966-01-01Paper
An Algorithm for the Inversion of Finite Hankel Matrices1965-01-01Paper
On the Extrapolation of a Special Class of Stationary Time Series1965-01-01Paper
An Algorithm for the Inversion of Finite Toeplitz Matrices1964-01-01Paper
On the Asymptotic Behavior of Solutions of Second Order Linear Differential Equations1963-01-01Paper
A General Class of Discrete Time-Invariant Filters1961-01-01Paper
On Periodicities of Certain Sequences of Residues1960-01-01Paper
On an Explicit Method for the Solution of a Stefan Problem1959-01-01Paper

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