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Author ID: trench.william-f Recent zbMATH articles by "Trench, William F."
Published as: Trench, William F.; Trench, W. F.; Trench, Willian F.
Documents Indexed: 129 Publications since 1959, including 3 Books
Co-Authors: 7 Co-Authors with 12 Joint Publications
105 Co-Co-Authors
all top 5

Serials

27 Linear Algebra and its Applications
15 Proceedings of the American Mathematical Society
7 Journal of Mathematical Analysis and Applications
6 SIAM Journal on Matrix Analysis and Applications
6 SIAM Journal on Mathematical Analysis
4 American Mathematical Monthly
4 Computers & Mathematics with Applications
4 Hiroshima Mathematical Journal
4 Journal of Computational and Applied Mathematics
4 Journal of the Society for Industrial & Applied Mathematics
3 Linear and Multilinear Algebra
3 Journal of Differential Equations
3 Transactions of the American Mathematical Society
2 Funkcialaj Ekvacioj. Serio Internacia
2 SIAM Journal on Algebraic and Discrete Methods
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Scientific Computing
2 Numerical Linear Algebra with Applications
2 Journal of Difference Equations and Applications
1 Houston Journal of Mathematics
1 International Journal of Non-Linear Mechanics
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Czechoslovak Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Numerical Analysis
1 Differential and Integral Equations
1 Panamerican Mathematical Journal
1 Dynamic Systems and Applications
1 SIAM Review
1 Cubo
1 Bulletin of the American Mathematical Society
1 Annals of Mathematical Statistics
1 Special Matrices

Publications by Year

Citations contained in zbMATH Open

103 Publications have been cited 988 times in 695 Documents Cited by Year
An algorithm for the inversion of finite Toeplitz matrices. Zbl 0131.36002
Trench, William F.
158
1964
Canonical forms and principal systems for general disconjugate equations. Zbl 0289.34051
Trench, William F.
79
1974
Characterization and properties of matrices with generalized symmetry or skew symmetry. Zbl 1046.15028
Trench, William F.
44
2004
Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry. Zbl 1087.15013
Trench, William F.
38
2004
Minimization problems for \((R,S)\)-symmetric and \((R,S)\)-skew symmetric matrices. Zbl 1059.15019
Trench, William F.
34
2004
On the eigenvalue problem for Toeplitz band matrices. Zbl 0568.15005
Trench, William F.
32
1985
On the asymptotic behaviour of solutions of second order linear differential equations. Zbl 0116.29304
Trench, William F.
31
1963
An algorithm for the inversion of finite Hankel matrices. Zbl 0135.17801
Trench, William F.
23
1965
Numerical solution of the eigenvalue problem for Hermitian Toeplitz matrices. Zbl 0676.65027
Trench, William F.
21
1989
Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations. Zbl 0593.34039
Kusano, Takaŝi; Trench, William F.
20
1985
Characterization and properties of \((R,S)\)-symmetric, \((R,S)\)-skew symmetric, and \((R,S)\)-conjugate matrices. Zbl 1080.15022
Trench, William F.
20
2005
Introduction to real analysis. Zbl 1204.00023
Trench, William F.
20
2003
Hermitian, Hermitian \(R\)-symmetric, and Hermitian \(R\)-skew symmetric Procrustes problems. Zbl 1121.15016
Trench, William F.
19
2004
Numerical solution of the inverse eigenvalue problem for real symmetric Toeplitz matrices. Zbl 0888.65045
Trench, William F.
18
1997
Weighting coefficients for the prediction of stationary time series from the finite past. Zbl 0275.60055
Trench, William F.
17
1967
Global existence theorems for solutions of nonlinear differential equations with prescribed asymptotic behaviour. Zbl 0578.34045
Kusano, Takaŝi; Trench, William F.
16
1985
Characterization and properties of matrices with \(k\)-involutory symmetries. Zbl 1167.15020
Trench, William F.
15
2008
Band matrices with Toeplitz inverses. Zbl 0428.15002
Greville, T. N. E.; Trench, William F.
13
1979
Invertibly convergent infinite products of matrices, with applications to difference equations. Zbl 0846.40002
Trench, W. F.
13
1995
Spectral evolution of a one-parameter extension of a real symmetric Toeplitz matrix. Zbl 0717.15008
Trench, William F.
13
1990
Inversion of Toeplitz band matrices. Zbl 0293.65014
Trench, William F.
12
1974
Oscillation properties of perturbed disconjugate equations. Zbl 0321.34027
Trench, William F.
12
1975
Linear perturbations of a nonoscillatory second order equation. Zbl 0594.34057
Trench, William F.
12
1986
Characterization and properties of matrices with \(k\)-involutory symmetries. II. Zbl 1205.15014
Trench, William F.
12
2010
Asymptotic behavior of solutions of Poincaré recurrence systems. Zbl 0805.39001
Trench, W. F.
11
1994
Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices. Zbl 0942.15006
Trench, William F.
11
1999
Properties of unilevel block circulants. Zbl 1217.15039
Trench, William F.
11
2009
Explicit inversion formulas for Toeplitz band matrices. Zbl 0573.15002
Trench, William F.
10
1985
Interlacement of the even and odd spectra of real symmetric Toeplitz matrices. Zbl 0790.15019
Trench, William F.
9
1993
Invertibly convergent infinite products of matrices. Zbl 0953.40003
Trench, William F.
8
1999
Extensions of a theorem of Wintner on systems with asymptotically constant solutions. Zbl 0597.34007
Trench, William F.
8
1986
Asymptotic behavior of solutions of Poincaré difference equations. Zbl 0783.39002
Trench, William F.
7
1993
Asymptotic behavior of solutions of Emden-Fowler difference equations with oscillating coefficients. Zbl 0796.39001
Trench, William F.
7
1993
Numerical solution of the eigenvalue problem for symmetric rationally generated Toeplitz matrices. Zbl 0647.65023
Trench, William F.
7
1988
Spectral distribution of generalized Kac-Murdock-Szegö matrices. Zbl 1071.15011
Trench, William F.
7
2002
Linear asymptotic equilibrium and uniform, exponential, and strict stability of linear difference systems. Zbl 0935.39004
Trench, W. F.
7
1998
Linear perturbations of a nonoscillatory second order difference equation. Zbl 0984.39005
Trench, William F.
7
2001
Properties of multilevel block \(\alpha \)-circulants. Zbl 1178.15017
Trench, William F.
6
2009
On the eigenvalue problem for Toeplitz matrices generated by rational functions. Zbl 0569.15004
Trench, William F.
6
1985
Systems of differential equations subject to mild integral conditions. Zbl 0514.34031
Trench, William F.
6
1983
Asymptotic behavior of solutions of a linear second-order difference equation. Zbl 0758.39004
Trench, William F.
6
1992
Some spectral properties of Hermitian Toeplitz matrices. Zbl 0813.15004
Trench, William F.
5
1994
Asymptotic distribution of the even and odd spectra of real symmetric Toeplitz matrices. Zbl 0947.15009
Trench, William F.
5
1999
A sufficient condition for eventual disconjugacy. Zbl 0321.34026
Trench, William F.
5
1975
Solution of systems with Toeplitz matrices generated by rational functions. Zbl 0588.15003
Trench, William F.
5
1986
On an explicit method for the solution of a Stefan problem. Zbl 0088.34103
Trench, William F.
5
1959
On the stability of midpoint smoothing with Legendre polynomials. Zbl 0234.65016
Trench, William F.
5
1967
Asymptotic behavior of solutions of \(Lu = g(t,u,\dots ,u^{(k-1)})\). Zbl 0235.34083
Trench, William F.
5
1972
Eventual disconjugacy of a linear differential equation. Zbl 0529.34041
Trench, William F.
5
1983
A note on a Toeplitz inversion formula. Zbl 0711.15030
Trench, William F.
5
1990
Linear perturbations of a nonoscillatory second order differential equation II. Zbl 1032.34049
Trench, William F.
4
2003
Nonnegative and alternating expansions of one set of orthogonal polynomials in terms of another. Zbl 0223.42018
Trench, William F.
4
1973
Conditional convergence of infinite products. Zbl 0979.40001
Trench, William F.
4
1999
Proof of a conjecture of Askey on orthogonal expansions with positive coefficients. Zbl 0314.42013
Trench, William F.
4
1975
Absolute equal distribution of families of finite sets. Zbl 1037.15011
Trench, William F.
4
2003
Functional perturbations of second order differential equations. Zbl 0577.34060
Trench, William F.
4
1985
Asymptotics of differential systems with deviating arguments. Zbl 0581.34056
Trench, William F.
4
1984
An elementary view of Weyl’s theory of equal distribution. Zbl 1275.11105
Trench, William F.
4
2012
Characteristic polynomials of symmetric rationally generated Toeplitz matrices. Zbl 0651.15009
Trench, William F.
3
1987
Numerical solution of the eigenvalue problem for symmetric rationally generated Toeplitz matrices. Zbl 0669.65029
Trench, W. F.
3
1988
On the extrapolation of a special class of stationary time series. Zbl 0202.49202
Trench, William F.
3
1965
Properties of some generalizations of Kac-Murdock-Szegö matrices. Zbl 0994.15007
Trench, William F.
3
2001
Systems of difference equations with asymptotically constant solutions. Zbl 0959.39003
Trench, William F.
3
2000
Multivariable calculus with linear algebra and series. Zbl 0272.00002
Trench, William F.; Kolman, Bernard
3
1972
Absolute equal distribution of the spectra of Hermitian matrices. Zbl 1030.15008
Trench, William F.
3
2003
Global existence of nonoscillatory solutions of perturbed general disconjugate equations. Zbl 0638.34028
Kusano, Takaŝi; Trench, William F.
3
1987
On periodicities of certain sequences of residues. Zbl 0101.03104
Trench, William F.
3
1960
Bounds on the generating functions of certain smoothing operations. Zbl 0234.65017
Trench, William F.
3
1967
On nonautonomous linear systems of differential and difference equations with \(R\)-symmetric coefficient matrices. Zbl 1179.34053
Trench, William F.
3
2009
Asymptotic integration of linear differential equations subject to mild integral conditions. Zbl 0567.34008
Trench, William F.
3
1984
Asymptotic behavior of solutions of an \(n\)th order differential equation. Zbl 0542.34051
Trench, William F.
3
1984
Asymptotic theory of perturbed general disconjugate equations. Zbl 0487.34031
Trench, William F.
3
1982
Characterization and properties of \((R,S_\sigma)\)-commutative matrices. Zbl 1246.15021
Trench, William F.
2
2012
A note on computing eigenvalues of banded Hermitian Toeplitz matrices. Zbl 0771.65018
Trench, William F.
2
1993
Continuous smoothing with polynomial weighting. Zbl 0211.51601
Trench, William F.
2
1970
Linear asymptotic equilibrium of nilpotent systems of linear difference equations. Zbl 0942.39008
Trench, William F.
2
1999
Asymptotic integration of linear differential equations subject to integral smallness conditions involving ordinary convergence. Zbl 0328.34049
Trench, William F.
2
1976
Multilevel matrices with involutory symmetries and skew symmetries. Zbl 1082.15042
Trench, William F.
2
2005
Existence and nonoscillation theorems for an Emden-Fowler equation with deviating argument. Zbl 0602.34043
Trench, William F.
2
1986
Global existence of solutions of mixed sublinear-superlinear differential equations. Zbl 0622.34031
Kusano, Takaŝi; Trench, Willian F.
2
1986
On the inversion of a Hilbert type matrix. Zbl 0136.11802
Trench, William F.; Scheinok, P. A.
2
1966
Stability of certain differential equations with homogeneous right hand sides. Zbl 0193.05502
Norman, E.; Trench, William F.
2
1969
Asymptotic theory of perturbed general disconjugate equations. II. Zbl 0563.34036
Trench, William F.
2
1984
Numerical solution of the eigenvalue problem for efficiently structured Hermitian matrices. Zbl 0733.65020
Trench, William F.
2
1991
Asymptotic integration of \(y^{(n)}+P(t)y^\nu=f(t)\) under mild integral smallness conditions. Zbl 0529.34042
Trench, William F.
2
1983
Linear perturbations of a nonoscillatory second order difference equation. II. Zbl 1021.39005
Trench, William F.
1
2002
Discrete minimum variance smoothing of a polynomial plus random noise. Zbl 0223.62107
Trench, William F.
1
1971
Trench’s canonical form for a disconjugate \(n\)th-order linear difference equation. Zbl 0958.39004
Harris, Bennette; Krueger, Robert; Trench, William F.
1
1998
Asymptotic behavior of solutions of perturbed disconjugate equations. Zbl 0238.34054
Trench, William F.
1
1972
Strong discrete minimum variance estimation of a polynomial plus random noise. Zbl 0248.62044
Trench, William F.
1
1973
Orthogonal polynomial expansions with nonnegative coefficients. Zbl 0341.42015
Trench, William F.
1
1976
A note on asymptotic zero distribution of orthogonal polynomials. Zbl 1051.33007
Trench, William F.
1
2003
Global solutions of nonlinear perturbations of linear differential equations. Zbl 0832.34034
Trench, William F.
1
1992
On the eigenvalue problem for a class of band matrices including those with Toeplitz inverses. Zbl 0606.15003
Trench, William F.
1
1986
Eventual disconjugacy of a linear differential equation. II. Zbl 0623.34040
Trench, William F.
1
1985
Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions. Zbl 0623.34059
Trench, William F.
1
1986
An elementary note on asymptotic properties of Toeplitz and multilevel Toeplitz matrices. Zbl 1051.15018
Trench, William F.
1
2004
Asymptotic preconditioning of linear homogeneous systems of differential equations. Zbl 1225.34017
Trench, William F.
1
2011
Systems of functional differential equations with asymptotically constant solutions. Zbl 0692.34071
Trench, William F.; Kusano, Takaŝi
1
1988
Efficient application of the Schauder-Tychonoff theorem to systems of functional differential equations. Zbl 0715.34127
Trench, William F.
1
1990
Inverse problems for unilevel block \(\alpha \)-circulants. Zbl 1289.15034
Trench, W.
1
2013
An elementary view of Weyl’s theory of equal distribution. Zbl 1275.11105
Trench, William F.
4
2012
Characterization and properties of \((R,S_\sigma)\)-commutative matrices. Zbl 1246.15021
Trench, William F.
2
2012
Asymptotic preconditioning of linear homogeneous systems of differential equations. Zbl 1225.34017
Trench, William F.
1
2011
Characterization and properties of matrices with \(k\)-involutory symmetries. II. Zbl 1205.15014
Trench, William F.
12
2010
Properties of unilevel block circulants. Zbl 1217.15039
Trench, William F.
11
2009
Properties of multilevel block \(\alpha \)-circulants. Zbl 1178.15017
Trench, William F.
6
2009
On nonautonomous linear systems of differential and difference equations with \(R\)-symmetric coefficient matrices. Zbl 1179.34053
Trench, William F.
3
2009
Characterization and properties of matrices with \(k\)-involutory symmetries. Zbl 1167.15020
Trench, William F.
15
2008
Characterization and properties of \((R,S)\)-symmetric, \((R,S)\)-skew symmetric, and \((R,S)\)-conjugate matrices. Zbl 1080.15022
Trench, William F.
20
2005
Multilevel matrices with involutory symmetries and skew symmetries. Zbl 1082.15042
Trench, William F.
2
2005
Characterization and properties of matrices with generalized symmetry or skew symmetry. Zbl 1046.15028
Trench, William F.
44
2004
Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry. Zbl 1087.15013
Trench, William F.
38
2004
Minimization problems for \((R,S)\)-symmetric and \((R,S)\)-skew symmetric matrices. Zbl 1059.15019
Trench, William F.
34
2004
Hermitian, Hermitian \(R\)-symmetric, and Hermitian \(R\)-skew symmetric Procrustes problems. Zbl 1121.15016
Trench, William F.
19
2004
An elementary note on asymptotic properties of Toeplitz and multilevel Toeplitz matrices. Zbl 1051.15018
Trench, William F.
1
2004
Introduction to real analysis. Zbl 1204.00023
Trench, William F.
20
2003
Linear perturbations of a nonoscillatory second order differential equation II. Zbl 1032.34049
Trench, William F.
4
2003
Absolute equal distribution of families of finite sets. Zbl 1037.15011
Trench, William F.
4
2003
Absolute equal distribution of the spectra of Hermitian matrices. Zbl 1030.15008
Trench, William F.
3
2003
A note on asymptotic zero distribution of orthogonal polynomials. Zbl 1051.33007
Trench, William F.
1
2003
Spectral distribution of generalized Kac-Murdock-Szegö matrices. Zbl 1071.15011
Trench, William F.
7
2002
Linear perturbations of a nonoscillatory second order difference equation. II. Zbl 1021.39005
Trench, William F.
1
2002
Linear perturbations of a nonoscillatory second order difference equation. Zbl 0984.39005
Trench, William F.
7
2001
Properties of some generalizations of Kac-Murdock-Szegö matrices. Zbl 0994.15007
Trench, William F.
3
2001
Systems of difference equations with asymptotically constant solutions. Zbl 0959.39003
Trench, William F.
3
2000
Asymptotic distribution of the spectra of a class of generalized Kac-Murdock-Szegö matrices. Zbl 0942.15006
Trench, William F.
11
1999
Invertibly convergent infinite products of matrices. Zbl 0953.40003
Trench, William F.
8
1999
Asymptotic distribution of the even and odd spectra of real symmetric Toeplitz matrices. Zbl 0947.15009
Trench, William F.
5
1999
Conditional convergence of infinite products. Zbl 0979.40001
Trench, William F.
4
1999
Linear asymptotic equilibrium of nilpotent systems of linear difference equations. Zbl 0942.39008
Trench, William F.
2
1999
Linear asymptotic equilibrium and uniform, exponential, and strict stability of linear difference systems. Zbl 0935.39004
Trench, W. F.
7
1998
Trench’s canonical form for a disconjugate \(n\)th-order linear difference equation. Zbl 0958.39004
Harris, Bennette; Krueger, Robert; Trench, William F.
1
1998
Numerical solution of the inverse eigenvalue problem for real symmetric Toeplitz matrices. Zbl 0888.65045
Trench, William F.
18
1997
Invertibly convergent infinite products of matrices, with applications to difference equations. Zbl 0846.40002
Trench, W. F.
13
1995
Asymptotic behavior of solutions of Poincaré recurrence systems. Zbl 0805.39001
Trench, W. F.
11
1994
Some spectral properties of Hermitian Toeplitz matrices. Zbl 0813.15004
Trench, William F.
5
1994
Interlacement of the even and odd spectra of real symmetric Toeplitz matrices. Zbl 0790.15019
Trench, William F.
9
1993
Asymptotic behavior of solutions of Poincaré difference equations. Zbl 0783.39002
Trench, William F.
7
1993
Asymptotic behavior of solutions of Emden-Fowler difference equations with oscillating coefficients. Zbl 0796.39001
Trench, William F.
7
1993
A note on computing eigenvalues of banded Hermitian Toeplitz matrices. Zbl 0771.65018
Trench, William F.
2
1993
Asymptotic behavior of solutions of a linear second-order difference equation. Zbl 0758.39004
Trench, William F.
6
1992
Global solutions of nonlinear perturbations of linear differential equations. Zbl 0832.34034
Trench, William F.
1
1992
Mild integrability conditions for global solutions of an elliptic equation. Zbl 0772.35023
Trench, William F.
1
1992
Numerical solution of the eigenvalue problem for efficiently structured Hermitian matrices. Zbl 0733.65020
Trench, William F.
2
1991
Spectral evolution of a one-parameter extension of a real symmetric Toeplitz matrix. Zbl 0717.15008
Trench, William F.
13
1990
A note on a Toeplitz inversion formula. Zbl 0711.15030
Trench, William F.
5
1990
Efficient application of the Schauder-Tychonoff theorem to systems of functional differential equations. Zbl 0715.34127
Trench, William F.
1
1990
Numerical solution of the eigenvalue problem for Hermitian Toeplitz matrices. Zbl 0676.65027
Trench, William F.
21
1989
Numerical solution of the eigenvalue problem for symmetric rationally generated Toeplitz matrices. Zbl 0647.65023
Trench, William F.
7
1988
Numerical solution of the eigenvalue problem for symmetric rationally generated Toeplitz matrices. Zbl 0669.65029
Trench, W. F.
3
1988
Systems of functional differential equations with asymptotically constant solutions. Zbl 0692.34071
Trench, William F.; Kusano, Takaŝi
1
1988
Characteristic polynomials of symmetric rationally generated Toeplitz matrices. Zbl 0651.15009
Trench, William F.
3
1987
Global existence of nonoscillatory solutions of perturbed general disconjugate equations. Zbl 0638.34028
Kusano, Takaŝi; Trench, William F.
3
1987
Linear perturbations of a nonoscillatory second order equation. Zbl 0594.34057
Trench, William F.
12
1986
Extensions of a theorem of Wintner on systems with asymptotically constant solutions. Zbl 0597.34007
Trench, William F.
8
1986
Solution of systems with Toeplitz matrices generated by rational functions. Zbl 0588.15003
Trench, William F.
5
1986
Existence and nonoscillation theorems for an Emden-Fowler equation with deviating argument. Zbl 0602.34043
Trench, William F.
2
1986
Global existence of solutions of mixed sublinear-superlinear differential equations. Zbl 0622.34031
Kusano, Takaŝi; Trench, Willian F.
2
1986
On the eigenvalue problem for a class of band matrices including those with Toeplitz inverses. Zbl 0606.15003
Trench, William F.
1
1986
Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions. Zbl 0623.34059
Trench, William F.
1
1986
On the eigenvalue problem for Toeplitz band matrices. Zbl 0568.15005
Trench, William F.
32
1985
Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations. Zbl 0593.34039
Kusano, Takaŝi; Trench, William F.
20
1985
Global existence theorems for solutions of nonlinear differential equations with prescribed asymptotic behaviour. Zbl 0578.34045
Kusano, Takaŝi; Trench, William F.
16
1985
Explicit inversion formulas for Toeplitz band matrices. Zbl 0573.15002
Trench, William F.
10
1985
On the eigenvalue problem for Toeplitz matrices generated by rational functions. Zbl 0569.15004
Trench, William F.
6
1985
Functional perturbations of second order differential equations. Zbl 0577.34060
Trench, William F.
4
1985
Eventual disconjugacy of a linear differential equation. II. Zbl 0623.34040
Trench, William F.
1
1985
Asymptotics of differential systems with deviating arguments. Zbl 0581.34056
Trench, William F.
4
1984
Asymptotic integration of linear differential equations subject to mild integral conditions. Zbl 0567.34008
Trench, William F.
3
1984
Asymptotic behavior of solutions of an \(n\)th order differential equation. Zbl 0542.34051
Trench, William F.
3
1984
Asymptotic theory of perturbed general disconjugate equations. II. Zbl 0563.34036
Trench, William F.
2
1984
Systems of differential equations subject to mild integral conditions. Zbl 0514.34031
Trench, William F.
6
1983
Eventual disconjugacy of a linear differential equation. Zbl 0529.34041
Trench, William F.
5
1983
Asymptotic integration of \(y^{(n)}+P(t)y^\nu=f(t)\) under mild integral smallness conditions. Zbl 0529.34042
Trench, William F.
2
1983
Asymptotic theory of perturbed general disconjugate equations. Zbl 0487.34031
Trench, William F.
3
1982
An oscillation condition for differential equations of arbitrary order. Zbl 0481.34023
Trench, William F.
1
1981
Band matrices with Toeplitz inverses. Zbl 0428.15002
Greville, T. N. E.; Trench, William F.
13
1979
Asymptotic integration of linear differential equations subject to integral smallness conditions involving ordinary convergence. Zbl 0328.34049
Trench, William F.
2
1976
Orthogonal polynomial expansions with nonnegative coefficients. Zbl 0341.42015
Trench, William F.
1
1976
Oscillation properties of perturbed disconjugate equations. Zbl 0321.34027
Trench, William F.
12
1975
A sufficient condition for eventual disconjugacy. Zbl 0321.34026
Trench, William F.
5
1975
Proof of a conjecture of Askey on orthogonal expansions with positive coefficients. Zbl 0314.42013
Trench, William F.
4
1975
Canonical forms and principal systems for general disconjugate equations. Zbl 0289.34051
Trench, William F.
79
1974
Inversion of Toeplitz band matrices. Zbl 0293.65014
Trench, William F.
12
1974
Nonnegative and alternating expansions of one set of orthogonal polynomials in terms of another. Zbl 0223.42018
Trench, William F.
4
1973
Strong discrete minimum variance estimation of a polynomial plus random noise. Zbl 0248.62044
Trench, William F.
1
1973
Asymptotic behavior of solutions of \(Lu = g(t,u,\dots ,u^{(k-1)})\). Zbl 0235.34083
Trench, William F.
5
1972
Multivariable calculus with linear algebra and series. Zbl 0272.00002
Trench, William F.; Kolman, Bernard
3
1972
Asymptotic behavior of solutions of perturbed disconjugate equations. Zbl 0238.34054
Trench, William F.
1
1972
Discrete minimum variance smoothing of a polynomial plus random noise. Zbl 0223.62107
Trench, William F.
1
1971
Continuous smoothing with polynomial weighting. Zbl 0211.51601
Trench, William F.
2
1970
Stability of certain differential equations with homogeneous right hand sides. Zbl 0193.05502
Norman, E.; Trench, William F.
2
1969
Weighting coefficients for the prediction of stationary time series from the finite past. Zbl 0275.60055
Trench, William F.
17
1967
On the stability of midpoint smoothing with Legendre polynomials. Zbl 0234.65016
Trench, William F.
5
1967
Bounds on the generating functions of certain smoothing operations. Zbl 0234.65017
Trench, William F.
3
1967
On the inversion of a Hilbert type matrix. Zbl 0136.11802
Trench, William F.; Scheinok, P. A.
2
1966
An algorithm for the inversion of finite Hankel matrices. Zbl 0135.17801
Trench, William F.
23
1965
On the extrapolation of a special class of stationary time series. Zbl 0202.49202
Trench, William F.
3
1965
An algorithm for the inversion of finite Toeplitz matrices. Zbl 0131.36002
Trench, William F.
158
1964
...and 3 more Documents
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Cited by 776 Authors

57 Trench, William F.
20 Džurina, Jozef
11 Ma, Changfeng
10 Böttcher, Albrecht
10 Grace, Said Rezk
10 Kusano, Takaŝi
9 Thandapani, Ethiraju
9 Wang, Qingwen
8 Grudsky, Sergei Mikhailovich
8 Hu, Xiyan
8 Jadlovská, Irena
7 Jiang, Zhaolin
7 Lebtahi, Leila
7 Mustafa, Octavian G.
7 Rost, Karla
7 Thome, Néstor
6 Baculíková, Blanka
6 Bogoya, Johan M.
6 Huang, Guang-Xin
6 Maksimenko, Egor A.
6 Pan, Victor Yakovlevich
6 Pinto, Manuel
6 Serra-Capizzano, Stefano
6 Shen, Weiping
6 Singh, Bhagat
6 Yin, Feng
6 Zhang, Lei
5 Agarwal, Ravi P.
5 Barnett, Stephen
5 Bini, Dario Andrea
5 Chang, Haixia
5 Chen, Guoliang
5 Dwivedi, Ravi
5 Heinig, Georg
5 Kailath, Thomas
5 Kitamura, Yuichi
5 Koo, Namjip
5 Li, Jiaofen
5 Naito, Manabu
5 Ng, Michael Kwok-Po
5 Zafer, Ağacık
4 Cecchi, Mariella
4 Chen, Shaozhu
4 Choi, Sungkyu
4 Dai, Lifang
4 Gover, Michael J. C.
4 Granata, Antonio
4 Greville, Thomas Nall Eden
4 Huang, Na
4 Li, Chong
4 Liang, Maolin
4 Peng, Zhenyun
4 Philos, Christos G.
4 Pituk, Mihály
4 Rogovchenko, Yuri V.
4 Sahai, Vivek
4 Tatar, Nasser-eddine
4 Vidal, Antonio Manuel
4 Xie, Yajun
4 Xu, Weiru
4 Yuan, Yongxin
4 Zheng, Yanpeng
3 Bohner, Martin J.
3 Chan, Raymond Hon-Fu
3 Delsarte, Philippe
3 Di Benedetto, Fabio
3 Dmytryshyn, Andrii R.
3 Elias, Uri
3 Gao, Zhen
3 Graef, John R.
3 Kassim, Mohammed Dahan
3 Li, Wen
3 Linzer, Elliot N.
3 Liu, Zhongyun
3 Luk, Franklin T.
3 Marini, Mauro
3 Medina, Rigoberto
3 Melman, Aaron
3 Migda, Janusz
3 Özbekler, Abdullah
3 Piramanantham, Veeraraghavan
3 Romero, Oscar
3 Saranya, K.
3 Sesana, Debora
3 Shon, Sugoog
3 Stević, Stevo
3 Stuart, Jeffrey L.
3 Swanson, Charles A.
3 Tunç, Ercan
3 Wang, Baoshan
3 Wen, Youwei
3 Wong, James S. W.
3 Zhang, Guofeng
2 Alonso, Pedro
2 Ammar, Gregory S.
2 Anderson, Brian David Outram
2 Badía, José M.
2 Bartušek, Miroslav
2 Batalshchikov, A. A.
2 Begović Kovač, Erna
...and 676 more Authors
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Cited in 198 Serials

115 Linear Algebra and its Applications
42 Journal of Mathematical Analysis and Applications
40 Journal of Computational and Applied Mathematics
30 Applied Mathematics and Computation
24 Computers & Mathematics with Applications
16 Journal of Difference Equations and Applications
15 Linear and Multilinear Algebra
15 Proceedings of the American Mathematical Society
15 Applied Mathematics Letters
13 Journal of Differential Equations
11 Numerical Algorithms
11 Advances in Difference Equations
11 Nonlinear Analysis. Theory, Methods & Applications
9 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Czechoslovak Mathematical Journal
8 Abstract and Applied Analysis
7 Calcolo
7 Journal of Approximation Theory
6 Mathematics of Computation
6 Mathematica Slovaca
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Transactions of the American Mathematical Society
5 Circuits, Systems, and Signal Processing
5 Japan Journal of Industrial and Applied Mathematics
5 International Journal of Computer Mathematics
4 Numerische Mathematik
4 Mathematical and Computer Modelling
4 Applied Mathematical Modelling
4 Numerical Linear Algebra with Applications
4 Mathematical Problems in Engineering
4 Journal of Applied Mathematics
4 Journal of Physics A: Mathematical and Theoretical
4 Special Matrices
3 Analysis Mathematica
3 Journal of Computational Physics
3 Rocky Mountain Journal of Mathematics
3 Automatica
3 BIT
3 Computing
3 Glasgow Mathematical Journal
3 Applied Numerical Mathematics
3 SIAM Journal on Matrix Analysis and Applications
3 Computational Statistics and Data Analysis
3 Qualitative Theory of Dynamical Systems
3 The ANZIAM Journal
3 Journal of Applied Mathematics and Computing
3 Operators and Matrices
3 Journal of Nonlinear Science and Applications
2 Applicable Analysis
2 Artificial Intelligence
2 Archive for Rational Mechanics and Analysis
2 International Journal of Systems Science
2 Integral Equations and Operator Theory
2 Journal of Soviet Mathematics
2 Journal of Statistical Planning and Inference
2 SIAM Journal on Algebraic and Discrete Methods
2 Bulletin of the Iranian Mathematical Society
2 Constructive Approximation
2 Journal of Statistical Computation and Simulation
2 SIAM Journal on Scientific Computing
2 Applied and Computational Harmonic Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Turkish Journal of Mathematics
2 Finite Fields and their Applications
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 ELA. The Electronic Journal of Linear Algebra
2 Parallel Algorithms and Applications
2 Journal of Shanghai University
2 Mathematical Modelling and Analysis
2 Applied Mathematics E-Notes
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Nonautonomous Dynamical Systems
1 American Mathematical Monthly
1 The American Statistician
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 Computer Methods in Applied Mechanics and Engineering
1 Inverse Problems
1 Information Processing Letters
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Lithuanian Mathematical Journal
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Reports on Mathematical Physics
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Acta Scientiarum Mathematicarum
1 Advances in Mathematics
1 Archiv der Mathematik
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series A
1 Journal of Computer and System Sciences
1 Journal of Econometrics
1 Journal of Functional Analysis
1 Journal of Multivariate Analysis
1 Journal of Number Theory
1 Meccanica
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Edinburgh Mathematical Society. Series II
...and 98 more Serials
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Cited in 51 Fields

262 Linear and multilinear algebra; matrix theory (15-XX)
246 Numerical analysis (65-XX)
168 Ordinary differential equations (34-XX)
62 Difference and functional equations (39-XX)
44 Operator theory (47-XX)
38 Statistics (62-XX)
25 Partial differential equations (35-XX)
20 Approximations and expansions (41-XX)
17 Computer science (68-XX)
16 Real functions (26-XX)
15 Number theory (11-XX)
15 Special functions (33-XX)
12 Probability theory and stochastic processes (60-XX)
12 Operations research, mathematical programming (90-XX)
10 Systems theory; control (93-XX)
9 Combinatorics (05-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
7 Integral equations (45-XX)
7 Quantum theory (81-XX)
7 Information and communication theory, circuits (94-XX)
6 Sequences, series, summability (40-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Functions of a complex variable (30-XX)
5 Differential geometry (53-XX)
5 Mechanics of particles and systems (70-XX)
5 Fluid mechanics (76-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Mechanics of deformable solids (74-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Algebraic geometry (14-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Integral transforms, operational calculus (44-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)
1 Biology and other natural sciences (92-XX)

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