Works Published in 1985

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Displaying works 1 - 20 of 31 in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

1985 journal article

Symbolic calculation of the trace of the power of a tridiagonal matrix

Computing, 35(3-4), 257–268.

By: M. Chu n

Contributors: M. Chu n

TL;DR: An algorithm symbolically calculating the trace of the power of a tridiagonal matrix is proposed, based on techniques developed from structure analysis and combinatorics. (via Semantic Scholar)
Source: ORCID
Added: July 4, 2023

1985 journal article

Asymptotic analysis of Toda lattice on diagonalizable matrices

Nonlinear Analysis, 9(2), 193–201.

By: M. Chu*

Contributors: M. Chu*

UN Sustainable Development Goal Categories
14. Life Below Water (Web of Science)
Source: ORCID
Added: July 4, 2023

1985 report

The integer manipulation techniques can compete with the linear algebra methods for solving sparse linear systems

(Technical Report No. 85-6). State University of New York at Albany, Computer Science Department.

By: E. Kaltofen & V. Pan

Source: NC State University Libraries
Added: March 26, 2022

1985 journal article

On the relation between the behavior and the distribution of the zeros of a polynomial

Journal of Nanjing University, Mathematics Biquarterly, 2(1), 53–59.

By: K. Huang & Z. Li

Source: NC State University Libraries
Added: December 28, 2021

1985 conference paper

Three phase flow in a porous medium and the classification of non-strictly hyperbolic conservation laws

Transactions of the third Army Conference on Applied Mathematics and Computing, 509–518. Research Triangle, North Carolina: U.S. Army Research Office.

By: M. Shearer & D. Schaeffer

Event: Third Army Conference on Applied Mathematics and Computing at Atlanta, Georgia on May 13-16, 1985

Source: NC State University Libraries
Added: November 24, 2021

1985 chapter

The interaction of transverse waves for the vibrating string

In J. H. Lightbourne & S. M. Rankin (Eds.), Physical Mathematics and Nonlinear Partial Differential Equations (pp. 229–238). New York: Marcel Dekker.

By: M. Shearer

Ed(s): J. Lightbourne & S. Rankin

Source: NC State University Libraries
Added: November 24, 2021

1985 conference paper

An illustration of a methodology for the construction of efficient systolic architectures in VLSI

Proceedings of the Second International Symposium on VLSI Technology, Systems and Applications, 268–273.

By: J. Delosme & I. Ipsen

Event: Second International Symposium on VLSI Technology, Systems and Applications at Taipei, Taiwan

Source: NC State University Libraries
Added: October 28, 2021

1985 journal article

Factorization of multivariate polynomials over finite fields

Mathematics of Computation, 45(171), 251–251.

By: J. von zur Gathen* & E. Kaltofen*

TL;DR: A probabilistic algorithm that finds the irreducible factors of a bivariate polynomial with coefficients from a finite field in timePolynomial in the input size, i.e., in the degree of the polynomials and log (cardinality of field). (via Semantic Scholar)
Source: Crossref
Added: June 15, 2021

1985 conference paper

On the numerical approximations for linear functional differential equations with input and output delays

1985 24th IEEE Conference on Decision and Control. Presented at the 1985 24th IEEE Conference on Decision and Control, Fort Lauderdale, FL.

By: H. Tran* & A. Manitius*

Event: 1985 24th IEEE Conference on Decision and Control at Fort Lauderdale, FL on December 11-13, 1985

Sources: Crossref, ORCID
Added: December 24, 2020

1985 journal article

The Smallest Eigenvalue of a Large Dimensional Wishart Matrix

The Annals of Probability, 13(4), 1364–1368.

By: J. Silverstein*

Sources: Crossref, NC State University Libraries
Added: October 29, 2020

1985 journal article

The Limiting Eigenvalue Distribution of a Multivariate F Matrix

SIAM Journal on Mathematical Analysis, 16(3), 641–646.

By: J. Silverstein*

Sources: Crossref, NC State University Libraries
Added: October 29, 2020

1985 journal article

The nonlinear interaction of smooth travelling waves in an elastic string

Wave Motion, 7(2), 169–175.

By: M. Shearer*

Sources: Crossref, NC State University Libraries
Added: September 14, 2020

1985 journal article

Elementary Wave Solutions of the Equations Describing the Motion of an Elastic String

SIAM Journal on Mathematical Analysis, 16(3), 447–459.

By: M. Shearer*

UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Sources: Crossref, NC State University Libraries
Added: September 14, 2020

1985 journal article

Computation of closed-loop eigenvalues associated with the optimal regulator problem for functional differential equations

IEEE Transactions on Automatic Control, 30(12), 1245–1248.

By: A. Manitius* & H. Tran*

Sources: Crossref, ORCID
Added: September 3, 2020

1985 other

Rank deficient least squares and the numerical solution of linear singular implicit systems of differential equations

By: S. Campbell*

Sources: Crossref, NC State University Libraries
Added: August 31, 2020

1985 journal article

The Numerical Solution of Higher Index Linear Time Varying Singular Systems of Differential Equations

SIAM Journal on Scientific and Statistical Computing, 6(2), 334–348.

By: S. Campbell*

UN Sustainable Development Goal Categories
Sources: Crossref, NC State University Libraries
Added: August 31, 2020

1985 journal article

Bounded solutions of discrete singular systems on infinite time intervals

IEEE Transactions on Automatic Control, 30(2), 165–168.

By: S. Campbell n & J. Rodriguez n

UN Sustainable Development Goal Categories
Sources: Crossref, NC State University Libraries
Added: August 31, 2020

1985 journal article

Effective Hilbert irreducibility

Information and Control, 66(3), 123–137.

TL;DR: A probabilistic irreducibility test for sparse multivariate poly omials over arbitrary perfect fields is constructed using a very effective version of the Hilbert Irreducible-n Theorem. (via Semantic Scholar)
Source: Crossref
Added: August 28, 2020

1985 journal article

Fast parallel absolute irreducibility testing

Journal of Symbolic Computation, 1(1), 57–67.

TL;DR: It is established that the set of absolutely irreducible integral polynomials belongs to the complexity class NC of Boolean circuits of polynomial size and logarithmic depth and also to the class of sequentiallyPolynomial-time problems. (via Semantic Scholar)
Source: Crossref
Added: August 28, 2020

1985 conference paper

Computing with polynomials given by straight-line programs II sparse factorization

26th Annual Symposium on Foundations of Computer Science (sfcs 1985). Presented at the 26th Annual Symposium on Foundations of Computer Science (sfcs 1985).

Event: 26th Annual Symposium on Foundations of Computer Science (sfcs 1985)

TL;DR: An algorithm for the factorization of a multivariate polynomial represented by a straight-line program into its irreducible factors represented as sparse polynomials is developed with controllably high probability the correct factorization. (via Semantic Scholar)
Source: Crossref
Added: August 28, 2020

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