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Appendix300: A multi-institutional laparoscopic appendectomy video dataset for computational modeling tasks

Kolbinger FR, Kirchner M, Pfeiffer K, Bodenstedt S, Jenke AC, Barthel J, Carstens M, Dehlke K, Dietz S, Emmanouilidis S, Fitze G, Freitag M, Holderried F, Jacobi T, Kanjo W, Leitermann L, Mees ST, Pistorius S, Prudlo C, Seiberth A, Schultz J, Thiel K, Ziehn D, Speidel S, Weitz J, Kather JN, Distler M, Saldanha OL.   +27 more
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Jacobi Sum Matrices

The American Mathematical Monthly, 2012
In this article we identify several beautiful properties of Jacobi sums that become evident when these numbers are organized as a matrix and studied via the tools of linear algebra.
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Jacobi’s Method for Skew-Symmetric Matrices

SIAM Journal on Matrix Analysis and Applications, 1993
A formula is derived for a rotation matrix which reduces orthogonally a \(4\times 4\) real skew-symmetric matrix \(A\) to real Schur form. A Jacobi type method is used. By applying the \(4\times 4\) matrices the off- diagonal part of the matrix is annihilated.
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Some inverse problems on Jacobi matrices

Inverse Problems, 2004
In this paper, some existence and uniqueness results for inverse problems of Jacobi matrices are proved. These results were partially motivated by corresponding results for inverse problems for Schrödinger operators by \textit{H. Hochstadt} and \textit{B. Lieberman} [SIAM J. Appl. Math. 34, 676--680 (1978; Zbl 0418.34032)] and \textit{F. Gesztesy} and \
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Spectral properties of Jacobi matrices

Ukrainian Mathematical Journal, 1985
Real Jacobi (tridiagonal) matrices in which the products of the corresponding nondiagonal elements are positive are considered. Theorem 1 of this paper gives new evaluations (from above and below) of both maximal and minimal eigenvalues of a Jacobi matrix. Several consequences including inequalities for the spectral radius are shown.
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Joint Velocities and Jacobi-Matrices

2015
In the previous chapter we discussed the relationship between joint angles and tool positions. We started from given positions for our tool, and computed the joint angles. Suppose now, we wish to trace out a curve in space with our tool. In the most simple case, the curve is a line.
Achim Schweikard, Floris Ernst
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Singular-unbounded random Jacobi matrices

Journal of Mathematical Physics, 2019
There have been several recent proofs of one-dimensional Anderson localization based on positive Lyapunov exponent that hold for bounded potentials. We provide a Lyapunov exponent based proof for unbounded potentials, simultaneously treating the singular and unbounded Jacobi case by extending the techniques in a recent work by Jitomirskaya and Zhu.
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Totally Nonnegative,M-, and Jacobi Matrices

SIAM Journal on Algebraic Discrete Methods, 1980
It is shown among other results that a nonsingular M-matrix is a Jacobi matrix if and only if its inverse is totally nonnegative and it is a normal Jacobi matrix if and only if its inverse is oscillatory.This is an extension of a previous result of Markham [Proc. Amer. Math. Soc., 161 (1912), pp. 326–330].
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Jacobi matrices

2023
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