Digital Commons @ Trinity

Introduction to Real Analysis, William F. Trench
William F. Trench

Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations with Boundary Value Problems, William F. Trench
William F. Trench

Elementary Differential Equations, William F. Trench
William F. Trench

Elementary Differential Equations with Boundary Value Problems, William F. Trench
William F. Trench

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

Elementary Differential Equations with Boundary Value Problems, William F. Trench
Faculty Authored and Edited Books & CDs

Elementary Differential Equations, William F. Trench
Faculty Authored and Edited Books & CDs

Introduction to Real Analysis, William F. Trench
Faculty Authored and Edited Books & CDs

Inverse problems for unilevel block $\alpha$-circulants, William F. Trench
William F. Trench

Functions Defined by Improper Integrals, William F. Trench
William F. Trench

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

The relationship between Trench's Toeplitz inversion algorithm and the Gohberg-Semencul formula, William F. Trench
William F. Trench

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

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

Spectral decomposition of Kac-Murdock-Szego matrices, William F. Trench
William F. Trench

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

Inverses of lower triangular Toeplitz matrices, William F. Trench
William F. Trench

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

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

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

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

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

On matrices with rotative symmetries, William F. Trench
William F. Trench

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

Characterization and properties of matrices with generalized symmetry or skew symmetry, William F. Trench
William F. Trench

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

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

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

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

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

Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations with Boundary Value Problems, William F. Trench
Faculty Authored and Edited Books & CDs

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

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

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

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

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

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

A note on the real symmetric eigenvalue, William F. Trench
William F. Trench

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

A note on computing eigenvalues of banded Hermitian Toeplitz matrices, William F. Trench
William F. Trench

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

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

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

A note on a Toeplitz inversion formula, William F. Trench
William F. Trench

Spectral evolution of a one-parameter extension of a real symmetric Toeplitz matrix, William F. Trench
William F. Trench

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

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

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

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

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

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

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

On the eigenvalue problem for a class of band matrices including those with Toeplitz inverses, William F. Trench
William F. Trench

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

Solution of systems with Toeplitz matrices generated by rational functions, William F. Trench
William F. Trench

On the eigenvalue problem for Toeplitz band matrices, William F. Trench
William F. Trench

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

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

Explicit inversion formulas for Toeplitz band matrices, William F. Trench
William F. Trench

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

On the eigenvalue problem for Toeplitz matrices generated by rational functions, William F. Trench
William F. Trench

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

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

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

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

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

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

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

Band matrices with Toeplitz inverses, William F. Trench, T N. E. Greville
William F. Trench

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

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

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

Strong discrete minimum variance estimation of a polynomial plus random noise, William F. Trench
William F. Trench

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

Stability of a class of discrete minimum variance smoothing formulas, William F. Trench
William F. Trench

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

Discrete minimum variance smoothing of a polynomial plus random noise, William F. Trench
William F. Trench

Continuous smoothing with polynomial weighting, William F. Trench
William F. Trench

Weighting coefficients for the prediction of stationary time series from the finite past, William F. Trench
William F. Trench

A data combination method for postflight trajectory analysis, William F. Trench
William F. Trench

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

Research in methods of generating Liapunov functions, William F. Trench, Ronald Drake, Edward Norman
William F. Trench

Bounds on the generating functions of certain smoothing operations, William F. Trench
William F. Trench

On the extrapolation of a special class of stationary time series, William F. Trench
William F. Trench

An algorithm for the inversion of finite Toeplitz matrices, William F. Trench
William F. Trench

A general class of discrete time-invariant filters, William F. Trench
William F. Trench

On periodicities of certain sequences of residues, William F. Trench
William F. Trench

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