Faster access than browser!Similarities between Eigenvalues and eigenvectors and Matrix (mathematics)
Eigenvalues and eigenvectors and Matrix (mathematics) have 77 things in common (in Unionpedia): Addison-Wesley, Adjacency matrix, Arthur Cayley, Associative algebra, Augustin-Louis Cauchy, Basis (linear algebra), Characteristic polynomial, Commutative property, Complex conjugate, Complex number, Conjugate transpose, Covariance matrix, Degree of a polynomial, Derivative, Determinant, Diagonal matrix, Diagonalizable matrix, Distributive property, Dot product, Eigendecomposition of a matrix, Exponential function, Field (mathematics), Finite element method, Fock matrix, Functional analysis, Gaussian elimination, German language, Graph theory, Hartree–Fock method, Hermitian matrix, ..., Hilbert space, Houghton Mifflin Harcourt, Identity matrix, Invertible matrix, John Wiley & Sons, Jordan normal form, Karl Weierstrass, Kernel (linear algebra), Leibniz formula for determinants, Linear combination, Linear equation, Linear map, Linear system, List of numerical analysis software, Markov chain, Matrix multiplication, Module (mathematics), Molecular orbital, Orthogonal matrix, Orthogonality, PageRank, Permutation matrix, Polynomial, Positive-definite matrix, Quadratic form, Quantum mechanics, Rational number, Representation theory, Roothaan equations, Rotation (mathematics), Row and column vectors, Scalar (mathematics), Scalar multiplication, Scaling (geometry), Set (mathematics), Shear mapping, Skew-symmetric matrix, Sparse matrix, Square matrix, Squeeze mapping, Symmetric matrix, Tensor, Trace (linear algebra), Triangular matrix, Unitary matrix, Variance, Vector space. Expand index (47 more) »
Addison-Wesley
Addison-Wesley is a publisher of textbooks and computer literature.
Addison-Wesley and Eigenvalues and eigenvectors · Addison-Wesley and Matrix (mathematics) ·
Adjacency matrix
In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph.
Adjacency matrix and Eigenvalues and eigenvectors · Adjacency matrix and Matrix (mathematics) ·
Arthur Cayley
Arthur Cayley F.R.S. (16 August 1821 – 26 January 1895) was a British mathematician.
Arthur Cayley and Eigenvalues and eigenvectors · Arthur Cayley and Matrix (mathematics) ·
Associative algebra
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.
Associative algebra and Eigenvalues and eigenvectors · Associative algebra and Matrix (mathematics) ·
Augustin-Louis Cauchy
Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics.
Augustin-Louis Cauchy and Eigenvalues and eigenvectors · Augustin-Louis Cauchy and Matrix (mathematics) ·
Basis (linear algebra)
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.
Basis (linear algebra) and Eigenvalues and eigenvectors · Basis (linear algebra) and Matrix (mathematics) ·
Characteristic polynomial
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots.
Characteristic polynomial and Eigenvalues and eigenvectors · Characteristic polynomial and Matrix (mathematics) ·
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
Commutative property and Eigenvalues and eigenvectors · Commutative property and Matrix (mathematics) ·
Complex conjugate
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.
Complex conjugate and Eigenvalues and eigenvectors · Complex conjugate and Matrix (mathematics) ·
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
Complex number and Eigenvalues and eigenvectors · Complex number and Matrix (mathematics) ·
Conjugate transpose
In mathematics, the conjugate transpose or Hermitian transpose of an m-by-n matrix A with complex entries is the n-by-m matrix A∗ obtained from A by taking the transpose and then taking the complex conjugate of each entry.
Conjugate transpose and Eigenvalues and eigenvectors · Conjugate transpose and Matrix (mathematics) ·
Covariance matrix
In probability theory and statistics, a covariance matrix (also known as dispersion matrix or variance–covariance matrix) is a matrix whose element in the i, j position is the covariance between the i-th and j-th elements of a random vector.
Covariance matrix and Eigenvalues and eigenvectors · Covariance matrix and Matrix (mathematics) ·
Degree of a polynomial
The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.
Degree of a polynomial and Eigenvalues and eigenvectors · Degree of a polynomial and Matrix (mathematics) ·
Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
Derivative and Eigenvalues and eigenvectors · Derivative and Matrix (mathematics) ·
Determinant
In linear algebra, the determinant is a value that can be computed from the elements of a square matrix.
Determinant and Eigenvalues and eigenvectors · Determinant and Matrix (mathematics) ·
Diagonal matrix
In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero.
Diagonal matrix and Eigenvalues and eigenvectors · Diagonal matrix and Matrix (mathematics) ·
Diagonalizable matrix
In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e., if there exists an invertible matrix P such that P−1AP is a diagonal matrix.
Diagonalizable matrix and Eigenvalues and eigenvectors · Diagonalizable matrix and Matrix (mathematics) ·
Distributive property
In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from boolean algebra and elementary algebra.
Distributive property and Eigenvalues and eigenvectors · Distributive property and Matrix (mathematics) ·
Dot product
In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.
Dot product and Eigenvalues and eigenvectors · Dot product and Matrix (mathematics) ·
Eigendecomposition of a matrix
In linear algebra, eigendecomposition or sometimes spectral decomposition is the factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors.
Eigendecomposition of a matrix and Eigenvalues and eigenvectors · Eigendecomposition of a matrix and Matrix (mathematics) ·
Exponential function
In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.
Eigenvalues and eigenvectors and Exponential function · Exponential function and Matrix (mathematics) ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Eigenvalues and eigenvectors and Field (mathematics) · Field (mathematics) and Matrix (mathematics) ·
Finite element method
The finite element method (FEM), is a numerical method for solving problems of engineering and mathematical physics.
Eigenvalues and eigenvectors and Finite element method · Finite element method and Matrix (mathematics) ·
Fock matrix
In the Hartree–Fock method of quantum mechanics, the Fock matrix is a matrix approximating the single-electron energy operator of a given quantum system in a given set of basis vectors.
Eigenvalues and eigenvectors and Fock matrix · Fock matrix and Matrix (mathematics) ·
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.
Eigenvalues and eigenvectors and Functional analysis · Functional analysis and Matrix (mathematics) ·
Gaussian elimination
In linear algebra, Gaussian elimination (also known as row reduction) is an algorithm for solving systems of linear equations.
Eigenvalues and eigenvectors and Gaussian elimination · Gaussian elimination and Matrix (mathematics) ·
German language
German (Deutsch) is a West Germanic language that is mainly spoken in Central Europe.
Eigenvalues and eigenvectors and German language · German language and Matrix (mathematics) ·
Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
Eigenvalues and eigenvectors and Graph theory · Graph theory and Matrix (mathematics) ·
Hartree–Fock method
In computational physics and chemistry, the Hartree–Fock (HF) method is a method of approximation for the determination of the wave function and the energy of a quantum many-body system in a stationary state.
Eigenvalues and eigenvectors and Hartree–Fock method · Hartree–Fock method and Matrix (mathematics) ·
Hermitian matrix
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the -th row and -th column is equal to the complex conjugate of the element in the -th row and -th column, for all indices and: Hermitian matrices can be understood as the complex extension of real symmetric matrices.
Eigenvalues and eigenvectors and Hermitian matrix · Hermitian matrix and Matrix (mathematics) ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Eigenvalues and eigenvectors and Hilbert space · Hilbert space and Matrix (mathematics) ·
Houghton Mifflin Harcourt
Houghton Mifflin Harcourt (HMH) is an educational and trade publisher in the United States.
Eigenvalues and eigenvectors and Houghton Mifflin Harcourt · Houghton Mifflin Harcourt and Matrix (mathematics) ·
Identity matrix
In linear algebra, the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.
Eigenvalues and eigenvectors and Identity matrix · Identity matrix and Matrix (mathematics) ·
Invertible matrix
In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular or nondegenerate) if there exists an n-by-n square matrix B such that where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
Eigenvalues and eigenvectors and Invertible matrix · Invertible matrix and Matrix (mathematics) ·
John Wiley & Sons
John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.
Eigenvalues and eigenvectors and John Wiley & Sons · John Wiley & Sons and Matrix (mathematics) ·
Jordan normal form
In linear algebra, a Jordan normal form (often called Jordan canonical form) of a linear operator on a finite-dimensional vector space is an upper triangular matrix of a particular form called a Jordan matrix, representing the operator with respect to some basis.
Eigenvalues and eigenvectors and Jordan normal form · Jordan normal form and Matrix (mathematics) ·
Karl Weierstrass
Karl Theodor Wilhelm Weierstrass (Weierstraß; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis".
Eigenvalues and eigenvectors and Karl Weierstrass · Karl Weierstrass and Matrix (mathematics) ·
Kernel (linear algebra)
In mathematics, and more specifically in linear algebra and functional analysis, the kernel (also known as null space or nullspace) of a linear map between two vector spaces V and W, is the set of all elements v of V for which, where 0 denotes the zero vector in W. That is, in set-builder notation,.
Eigenvalues and eigenvectors and Kernel (linear algebra) · Kernel (linear algebra) and Matrix (mathematics) ·
Leibniz formula for determinants
In algebra, the Leibniz formula, named in honor of Gottfried Leibniz, expresses the determinant of a square matrix in terms of permutations of the matrix elements.
Eigenvalues and eigenvectors and Leibniz formula for determinants · Leibniz formula for determinants and Matrix (mathematics) ·
Linear combination
In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).
Eigenvalues and eigenvectors and Linear combination · Linear combination and Matrix (mathematics) ·
Linear equation
In mathematics, a linear equation is an equation that may be put in the form where x_1, \ldots, x_n are the variables or unknowns, and c, a_1, \ldots, a_n are coefficients, which are often real numbers, but may be parameters, or even any expression that does not contain the unknowns.
Eigenvalues and eigenvectors and Linear equation · Linear equation and Matrix (mathematics) ·
Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
Eigenvalues and eigenvectors and Linear map · Linear map and Matrix (mathematics) ·
Linear system
A linear system is a mathematical model of a system based on the use of a linear operator.
Eigenvalues and eigenvectors and Linear system · Linear system and Matrix (mathematics) ·
List of numerical analysis software
Listed here are end-user computer applications intended for use with numerical or data analysis.
Eigenvalues and eigenvectors and List of numerical analysis software · List of numerical analysis software and Matrix (mathematics) ·
Markov chain
A Markov chain is "a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event".
Eigenvalues and eigenvectors and Markov chain · Markov chain and Matrix (mathematics) ·
Matrix multiplication
In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.
Eigenvalues and eigenvectors and Matrix multiplication · Matrix (mathematics) and Matrix multiplication ·
Module (mathematics)
In mathematics, a module is one of the fundamental algebraic structures used in abstract algebra.
Eigenvalues and eigenvectors and Module (mathematics) · Matrix (mathematics) and Module (mathematics) ·
Molecular orbital
In chemistry, a molecular orbital (MO) is a mathematical function describing the wave-like behavior of an electron in a molecule.
Eigenvalues and eigenvectors and Molecular orbital · Matrix (mathematics) and Molecular orbital ·
Orthogonal matrix
In linear algebra, an orthogonal matrix is a square matrix whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors), i.e. where I is the identity matrix.
Eigenvalues and eigenvectors and Orthogonal matrix · Matrix (mathematics) and Orthogonal matrix ·
Orthogonality
In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms.
Eigenvalues and eigenvectors and Orthogonality · Matrix (mathematics) and Orthogonality ·
PageRank
PageRank (PR) is an algorithm used by Google Search to rank websites in their search engine results.
Eigenvalues and eigenvectors and PageRank · Matrix (mathematics) and PageRank ·
Permutation matrix
\pi.
Eigenvalues and eigenvectors and Permutation matrix · Matrix (mathematics) and Permutation matrix ·
Polynomial
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Eigenvalues and eigenvectors and Polynomial · Matrix (mathematics) and Polynomial ·
Positive-definite matrix
In linear algebra, a symmetric real matrix M is said to be positive definite if the scalar z^Mz is strictly positive for every non-zero column vector z of n real numbers.
Eigenvalues and eigenvectors and Positive-definite matrix · Matrix (mathematics) and Positive-definite matrix ·
Quadratic form
In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables.
Eigenvalues and eigenvectors and Quadratic form · Matrix (mathematics) and Quadratic form ·
Quantum mechanics
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
Eigenvalues and eigenvectors and Quantum mechanics · Matrix (mathematics) and Quantum mechanics ·
Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
Eigenvalues and eigenvectors and Rational number · Matrix (mathematics) and Rational number ·
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
Eigenvalues and eigenvectors and Representation theory · Matrix (mathematics) and Representation theory ·
Roothaan equations
The Roothaan equations are a representation of the Hartree–Fock equation in a non orthonormal basis set which can be of Gaussian-type or Slater-type.
Eigenvalues and eigenvectors and Roothaan equations · Matrix (mathematics) and Roothaan equations ·
Rotation (mathematics)
Rotation in mathematics is a concept originating in geometry.
Eigenvalues and eigenvectors and Rotation (mathematics) · Matrix (mathematics) and Rotation (mathematics) ·
Row and column vectors
In linear algebra, a column vector or column matrix is an m × 1 matrix, that is, a matrix consisting of a single column of m elements, Similarly, a row vector or row matrix is a 1 × m matrix, that is, a matrix consisting of a single row of m elements Throughout, boldface is used for the row and column vectors.
Eigenvalues and eigenvectors and Row and column vectors · Matrix (mathematics) and Row and column vectors ·
Scalar (mathematics)
A scalar is an element of a field which is used to define a vector space.
Eigenvalues and eigenvectors and Scalar (mathematics) · Matrix (mathematics) and Scalar (mathematics) ·
Scalar multiplication
In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra).
Eigenvalues and eigenvectors and Scalar multiplication · Matrix (mathematics) and Scalar multiplication ·
Scaling (geometry)
In Euclidean geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions.
Eigenvalues and eigenvectors and Scaling (geometry) · Matrix (mathematics) and Scaling (geometry) ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Eigenvalues and eigenvectors and Set (mathematics) · Matrix (mathematics) and Set (mathematics) ·
Shear mapping
In plane geometry, a shear mapping is a linear map that displaces each point in fixed direction, by an amount proportional to its signed distance from a line that is parallel to that direction.
Eigenvalues and eigenvectors and Shear mapping · Matrix (mathematics) and Shear mapping ·
Skew-symmetric matrix
In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative; that is, it satisfies the condition In terms of the entries of the matrix, if aij denotes the entry in the and; i.e.,, then the skew-symmetric condition is For example, the following matrix is skew-symmetric: 0 & 2 & -1 \\ -2 & 0 & -4 \\ 1 & 4 & 0\end.
Eigenvalues and eigenvectors and Skew-symmetric matrix · Matrix (mathematics) and Skew-symmetric matrix ·
Sparse matrix
In numerical analysis and computer science, a sparse matrix or sparse array is a matrix in which most of the elements are zero.
Eigenvalues and eigenvectors and Sparse matrix · Matrix (mathematics) and Sparse matrix ·
Square matrix
In mathematics, a square matrix is a matrix with the same number of rows and columns.
Eigenvalues and eigenvectors and Square matrix · Matrix (mathematics) and Square matrix ·
Squeeze mapping
In linear algebra, a squeeze mapping is a type of linear map that preserves Euclidean area of regions in the Cartesian plane, but is not a rotation or shear mapping.
Eigenvalues and eigenvectors and Squeeze mapping · Matrix (mathematics) and Squeeze mapping ·
Symmetric matrix
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose.
Eigenvalues and eigenvectors and Symmetric matrix · Matrix (mathematics) and Symmetric matrix ·
Tensor
In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.
Eigenvalues and eigenvectors and Tensor · Matrix (mathematics) and Tensor ·
Trace (linear algebra)
In linear algebra, the trace of an n-by-n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii denotes the entry on the ith row and ith column of A. The trace of a matrix is the sum of the (complex) eigenvalues, and it is invariant with respect to a change of basis.
Eigenvalues and eigenvectors and Trace (linear algebra) · Matrix (mathematics) and Trace (linear algebra) ·
Triangular matrix
In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix.
Eigenvalues and eigenvectors and Triangular matrix · Matrix (mathematics) and Triangular matrix ·
Unitary matrix
In mathematics, a complex square matrix is unitary if its conjugate transpose is also its inverse—that is, if where is the identity matrix.
Eigenvalues and eigenvectors and Unitary matrix · Matrix (mathematics) and Unitary matrix ·
Variance
In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean.
Eigenvalues and eigenvectors and Variance · Matrix (mathematics) and Variance ·
Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
Eigenvalues and eigenvectors and Vector space · Matrix (mathematics) and Vector space ·
The list above answers the following questions
- What Eigenvalues and eigenvectors and Matrix (mathematics) have in common
- What are the similarities between Eigenvalues and eigenvectors and Matrix (mathematics)
Eigenvalues and eigenvectors and Matrix (mathematics) Comparison
Eigenvalues and eigenvectors has 235 relations, while Matrix (mathematics) has 352. As they have in common 77, the Jaccard index is 13.12% = 77 / (235 + 352).
References
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