A unit triangular matrix is triangular matrix with 1s on the main diagonal. There are a few useful properties about products, inverses and determinants of triangular matrices [5]: • The inverse of upper (lower) triangular matrix is upper (lower) triangular. • The inverse of unit upper ...
Lower triangular matrixThe notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index one in 2010, and then it was generalized to an arbitrary $$*$$ -ring case by Raki, Dini and Djordjevi in 2014. Later, the notion of pseudo core inverse extended ...
matix is lower triangular, and the inverse of an invertible upper triangular matrix is upper triangular. Note, Give proves of the above theorem and two examples for each part. 1example should be of order2×2and other would be of3...
For a two-parameter family of lower triangular matrices with entries involving Jacobi polynomials an explicit inverse is given, with entries involving a su... L Cagliero,TH Koornwinder - 《Journal of Approximation Theory》 被引量: 29发表: 2015年 Explicit matrix inverses for lower triangular matric...
In a recent paper [3], Lyons has discovered an interesting lower bound for the Cesaro matrix C. His result says that ∥Cx∥⩾(π6)∥x∥ for every xϵl2 satisfying x1⩾x2⩾⋯⩾0. The purpose of this note is to establish analogous lower bounds for arbitrary matrices (with non...
linear operation among translation elements, and nonlinear criteria for determining independent elements, were proposed for Eq. (5), which lay the foundation for structural analysis (forward operation of the POC equation), in addition to type synthesis (inverse operation of the POC equation) of PMs...
Tashiro, A method of solution to fuzzy inverse problems, Trans. Soc. Instrum. Control. Eng. 15 (1) (1979). Y. Tsukamoto and T. Terano, Failure diagnosis by using fuzzy logic, Proc. IEEE Conf. Decision Control, New Orleans 2 (1977), 1390 - 1395. M. Wagenknecht and K. Hartmann, ...
It's relatively easy to compute the inverse of a lower triangular matrix or an upper triangular matrix. For reasons that aren't clear to me, when I do an Internet search for this topic, I get very weak references, meaning a lot of blah, blah, blah, but n
3) lower triangular complex matrix 下三角复矩阵 1. This Paper presents a kind of matrix inverse arithmetic suitable for ASIC implementation,which could process 1～16 dimension lower triangular complex matrix,and is coded by Verilog HDL. 本论文提出了一种便于ASIC实现的矩阵求逆算法,可以完成对1到...
What is the Inverse of a Lower Triangular Matrix? The inverse of a lower triangular matrix is also a lower triangular matrix. How to Find the Determinant of a Triangular Matrix? Thedeterminant of a triangular matrix can be found by taking the product of the elements of the main diagonal. ...