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superdiagonal matrix

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  • Pascal matrix — In mathematics, particularly matrix theory and combinatorics, the Pascal matrix is an infinite matrix containing the binomial coefficients as its elements. There are 3 ways this can be achieved either as an upper triangular matrix, a lower… …   Wikipedia

  • Shift matrix — In mathematics, a shift matrix is a binary matrix with ones only on the superdiagonal or subdiagonal, and zeroes elsewhere. A shift matrix U with ones on the superdiagonal is an upper shift matrix.The alternative subdiagonal matrix L is… …   Wikipedia

  • Jordan matrix — In the mathematical discipline of matrix theory, a Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix which is composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element… …   Wikipedia

  • Nilpotent matrix — In linear algebra, a nilpotent matrix is a square matrix N such that for some positive integer k. The smallest such k is sometimes called the degree of N. More generally, a nilpotent transformation is a linear transformation L of a vector space… …   Wikipedia

  • Tridiagonal matrix — In linear algebra, a tridiagonal matrix is a matrix that is almost a diagonal matrix. To be exact: a tridiagonal matrix has nonzero elements only in the main diagonal, the first diagonal below this, and the first diagonal above the main… …   Wikipedia

  • Lehmer matrix — In mathematics, particularly matrix theory, the n×n Lehmer matrix is the constant symmetric matrix defined by:A {ij} =egin{cases}i/j, jge i j/i, j n . The values of elements diminish toward zero away from the diagonal, where all elements have… …   Wikipedia

  • Hessenberg matrix — In linear algebra, a Hessenberg matrix is one that is almost triangular. To be exact, an upper Hessenberg matrix has zero entries below the first subdiagonal, and a lower Hessenberg matrix has zero entries above the first superdiagonal. They are… …   Wikipedia

  • Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… …   Wikipedia

  • Diagonal — For the avenue in Barcelona, see Avinguda Diagonal. The diagonals of a cube with side length 1. AC (shown in blue) is a space diagonal with length , while AC (shown in red) is a face diagonal and has length …   Wikipedia

  • List of matrices — This page lists some important classes of matrices used in mathematics, science and engineering: Matrices in mathematics*(0,1) matrix a matrix with all elements either 0 or 1. Also called a binary matrix . *Adjugate matrix * Alternant matrix a… …   Wikipedia

  • Partition (number theory) — Young diagrams associated to the partitions of the positive integers 1 through 8. They are so arranged that images under the reflection about the main diagonal of the square are conjugate partitions. In number theory and combinatorics, a… …   Wikipedia

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