Brenner, J. L. (Joel Lee) 1912Overview
Publication Timeline
Most widely held works about
J. L Brenner
Most widely held works by
J. L Brenner
Problems in differential equations
by A. F Filippov
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Book
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17 editions published between 1963 and 2013 in 3 languages and held by 802 WorldCat member libraries worldwide More than 900 problems and answers explore applications of differential equations to vibrations, electrical engineering, mechanics, and physics. Each of 20 sections is preceded by a clear explanation of basic ideas behind the solutions to the subsequent problems. Problem types include both routine and nonroutine, and stars indicate advanced problems. 1963 edition
Applications of the theory of matrices
by F. R Gantmakher
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Book
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6 editions published between 1959 and 2005 in English and held by 27 WorldCat member libraries worldwide
Stability of motion; applications of Lyapunov's second method to differential systems and equations with delay
by N. N Krasovskiĭ
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Book
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4 editions published in 1963 in English and held by 9 WorldCat member libraries worldwide
New rootlocation theorems for partitioned matrices
by J. L Brenner
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Book
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4 editions published in 1967 in English and held by 6 WorldCat member libraries worldwide In solving systems of linear equations by iteration methods, an advance guarantee is sometimes needed that the iteration will converge. Such a guarantee is available from one or another of the class of theorems known as rootlocation theorems, or Gersgorintype theorems. In an unpublished report, the author had given methods for discovering such theorems, and for finding counterexamples to unfounded conjectures. In the present paper, several new rootlocation theorems are given
The eigenvectors of the angular momentum operator jx
by J. L Brenner
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Book
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2 editions published in 1961 in English and held by 3 WorldCat member libraries worldwide A matrix M which arises in the theory of angular momen um in quantum mechanics, is discussed. The fact that M can be transformed into diagonal form by a symmetric real orthogonal matrix is established. C R AIN I ER PRODUCTS OF IG NV C ORS AN C R AIN WEIGHTE INN R PRODUCT ARE COMPUTED ALSO T a the methods and results do apply t a certai narrow class of matric s relat to M is in icated. (Author)
Problems in higher algebra
by D. K Faddeev
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Book
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3 editions published in 1965 in English and Undetermined and held by 3 WorldCat member libraries worldwide
Mahler matrices and the equation qa = aqm
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Book
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1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide Several sets of matrices are defined; each set forms an abelian group. The elements of the matrices are 0, 1, 1 and other roots of unity (or sums of roots of unity). The determinant, characteristic roots, vectors, and elementary divisors are also found. Thus the matrices form a convenient set of test matrices for a routine which purports to solve a matrix. A typical test matrix may involve nonreal elements; if each element of the matrix is replaced by a 2 by 2 matrix in the usual way the roots of the expanded real matrix are the roots of the test matrix and their conjugates. The vectors of the expanded matrix are easily found also. (Author)
The linear homogeneous group
by J. L Brenner
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Book
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2 editions published between 1936 and 1938 in English and held by 2 WorldCat member libraries worldwide
Footnote to a paper of Roy, Greenberg and Sarhan
by J. L Brenner
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Book
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1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
Theorems of Geršgorin type
by J. L Brenner
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Book
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2 editions published in 1964 in English and held by 2 WorldCat member libraries worldwide
Problems in differential equations. Second edition. [By] J.L. Brenner, etc. (Adapted from "Problems in differential equations" by A.F. Filippov.)
by J. L Brenner
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Book
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1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
A set of matrices for testing computer programs
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Book
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1 edition published in 1962 in English and held by 2 WorldCat member libraries worldwide A set of matrices is defined, and the complete solution of each matrix is given. The matrices have arbitrary dimension, and a large nuber of parameters. By adjusting these parameters, a matrix of arbitrary dimension can be constructed which has two eigenvectos tht are nearly coincident, which is derogatory (has fewer than the maximum possible number of eigenvectors), or is s nearly singular as desired. Thus a set of matrices is available which forms a convenient set of check matrices for testing computer programs which purport to solve or invert a matrix. The matrices of the set have certain properties of regularity. For selected values of the parameters, the matrices appear as variancecovariance matices in statistics. In particular cases, the eigenvalues (but not the eigenvectors) and the determinants were found. (Autho)
Circulant matrices and some generalizations
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Book
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1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
The equatorial orbit of a nearearth satellite
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Book
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1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide The orbit of a nearearth satellite is described by finite equations x equals x(t), y equals y(t), z equals z(t) which closely approximate the position of the satellite. Various sets of approximate equations were proposed by various authors but in no case has it been possible to establish rigorous error bounds for these solutions. This is true even when the only noninversesquare force is due to the oblateness of the earth. Realistic and strict numerical error bounds for an approximate solution are given. Special though this case is, a complete error analysis may have some interest. (Author)
Methods for satellite orbit calculation theory and applications : SRI Project No. SU2587, final report
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Book
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1 edition published in 1959 in English and held by 1 WorldCat member library worldwide
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by F. R Gantmakher
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Book
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1 edition published in 1959 in English and held by 1 WorldCat member library worldwide
The popularity of small integers as primitive roots
by C Brenner
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Book
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1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
Special satellite orbits : final report
by J. L Brenner
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Book
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1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
Footnote to a paper of roy, greenberg and sarhan
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Book
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1 edition published in 1961 in English and held by 1 WorldCat member library worldwide Roy, Greenberg, n Sarhan evaluate determinants, characteristic polynomials, and roots of certain matrices by ad hoc methods. Several of the matrices these authors consider are related, and can be solved by a single method. The ideas needed are elementary enough so that a brief sketch gives all the necessary material. The elementary method of attack yields a little more than the ad hoc methods; with it, the proper vectors can also be written down at sight. (Author)
Mathematical theory of elasticity; fundamental equations
by J. L Brenner
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Book
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1 edition published in 1940 in English and held by 1 WorldCat member library worldwide more
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Associated Subjects
Algebra Angular momentum Computer logic Determinants Differential equations EducationCurricula Eigenvectors Elasticity Equations, Roots of Harvard University Li︠a︡punov, A. M.(Aleksandr Mikhaĭlovich), Lyapunov functions Matrices Number theory Obshchai︠a︡ zadacha ob ustoĭchivosti dvizhenii︠a︡ (Li︠a︡punov, A. M.) Stability

Alternative Names
Brenner, J. L.
Brenner, Joel Lee, 1912
Brenner, Joel Lee, 19121997
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