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1 matrix eigenvalue problem
Англо-русский словарь промышленной и научной лексики > matrix eigenvalue problem
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2 Корень характеристического уравнения матрицы
Русско-английский словарь по прикладной математике и механике > Корень характеристического уравнения матрицы
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3 собственное значение матрицы
Engineering: eigenvalue of a matrix, eigenvalue of matrixУниверсальный русско-английский словарь > собственное значение матрицы
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4 характеристическое значение матрицы
Engineering: eigenvalue of a matrixУниверсальный русско-английский словарь > характеристическое значение матрицы
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5 собственное значение матрицы
eigenvalue of matrix, matrix eigenvalueРусско-английский физический словарь > собственное значение матрицы
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6 матричная задача на собственные значения
Русско-английский физический словарь > матричная задача на собственные значения
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7 характеристическое число матрицы
Русско-английский физический словарь > характеристическое число матрицы
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8 собственное значение матрицы
Русско-английский политехнический словарь > собственное значение матрицы
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9 Определенные артикли перед существительными, которые снабжены ссылками
The differential problem (1) can be reduced to the form (2)The asymptotic formula (1) follows from the above lemmaThe differential equation (1) can be solved numericallyWhat is needed in the final result is a simple bound on quantities of the form (1)The inequality (1) (артикль можно опустить) shows that $a>b$The bound (estimate) (2) is not quite as good as the bound (estimate) (1)If the norm of $A$ satisfies the restriction (1), then by the estimate (2) this term is less than unitySince the spectral radius of $A$ belongs to the region (1), this iterative method converges for any initial guessesThe array (1) is called the matrix representing the linear transformation of $f$It should be noted that the approximate inequality (1) bounds only the absolute error in $x$The inequality (1) shows that...The second step in our analysis is to substitute the forms (1) and (2) into this equation and simplify it by dropping higher-order termsFor small $ze$ the approximation (1) is very good indeedA matrix of the form (1), in which some eigenvalue appears in more than one block, is called a derogatory matrixThe relation between limits and norms is suggested by the equivalence (1)For this reason the matrix norm (1) is seldom encountered in the literatureTo establish the inequality (1) from the definition (2)Our conclusion agrees with the estimate (1)The characterization is established in almost the same way as the results of Theorem 1, except that the relations (1) and (2) take place in the eigenvalue-eigenvector relation...This vector satisfies the differential equation (1)The Euclidean vector norm (2) satisfies the properties (1)The bound (1) ensures only that these elements are small compared with the largest element of $A$There is some terminology associated with the system (1) and the matrix equation (2)A unique solution expressible in the form (1) restricts the dimensions of $A$The factorization (1) is called the $LU$-factorizationIt is very uncommon for the condition (1) to be violatedThe relation (1) guarantees that the computed solution gives very small residualThis conclusion follows from the assumptions (1) and (2)The factor (1) introduced in relation (2) is now equal to 2The inequalities (1) are still adequateWe use this result without explicitly referring to the restriction (1)Русско-английский словарь по прикладной математике и механике > Определенные артикли перед существительными, которые снабжены ссылками
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10 Отсутствие артиклей в выражениях, используемых после with, without, in, as и at для уточнения свойств основного существительного
We shall be concerned with real $n$-spaceThis program package can be installed without much difficultyThen $D$ becomes a locally convex space with dual space $D'$The set of points with distance 1 from $K$The set of all functions with compact supportThe compact set of all points at distance 1 from $K$An algebra with unit $e$An operator with domain $H^2$A solution with vanishing Cauchy dataA cube with sides parallel to the axes of coordinatesA domain with smooth boundaryAn equation with constant coefficientsA function with compact supportRandom variables with zero expectation (zero mean)Any random variable can be taken as coordinate variable on $X$Here $t$ is interpreted as area and volumeWe show that $G$ is a group with composition as group operationIt is assumed that the matrix $A$ is given in diagonal (triangular, upper (lower) triangular, Hessenberg) formThen $A$ is deformed into $B$ by pushing it at constant speed along the integral curves of $X$$G$ is now viewed as a set, without group structureThe (a) function in coordinate representationThe idea of a vector in real $n$-dimensional spaceThe point $x$ with coordinates $(1,1)$A solution in explicit (implicit, coordinate) formОднако: let $B$ be a Banach space with a weak sympletic form $w$Однако: (the) two random variables with a common distributionОднако: this representation of $A$ is well defined as the integral of $f$ over the domain $D$Then the matrix $A$ has the simple eigenvalue $lambda=1$ with eigenvectors $x=(1,0)$ and $y=(1,-100)$Русско-английский словарь по прикладной математике и механике > Отсутствие артиклей в выражениях, используемых после with, without, in, as и at для уточнения свойств основного существительного
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11 характеристическое число матрицы
Mathematics: eigenvalue of matrixУниверсальный русско-английский словарь > характеристическое число матрицы
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12 характерическое значение матрицы
Engineering: eigenvalue of matrixУниверсальный русско-английский словарь > характерическое значение матрицы
См. также в других словарях:
eigenvalue of a matrix — noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a square matrix, ↑characteristic root of a square matrix • Hypernyms: ↑value … Useful english dictionary
eigenvalue of a square matrix — noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a matrix, ↑characteristic root of a square matrix • Hypernyms: ↑value … Useful english dictionary
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Matrix decomposition — In the mathematical discipline of linear algebra, a matrix decomposition is a factorization of a matrix into some canonical form. There are many different matrix decompositions; each finds use among a particular class of problems. Contents 1… … Wikipedia
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Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… … Wikipedia
matrix — /may triks, ma /, n., pl. matrices /may tri seez , ma /, matrixes. 1. something that constitutes the place or point from which something else originates, takes form, or develops: The Greco Roman world was the matrix for Western civilization. 2.… … Universalium
