The inverse along a lower triangular matrix

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The inverse along a lower triangular matrix

In this paper, we investigate the recently defined notion of inverse along an element in the context of matrices over a ring. Precisely, we study the inverse of a matrix along a lower triangular matrix, under some conditions.

متن کامل

THE INVERSE OF THE PASCAL LOWER TRIANGULAR MATRIX MODULO p

Let L(n)p be the Pascal lower triangular matrix with coefficients `i j ́ (mod p), 0 ≤ i, j < n. In this paper, we found the inverse of L(n)p modulo p. In fact, we generalize a result due to David Callan [4].

متن کامل

Rigidity of a simple extended lower triangular matrix

For the all-ones lower triangular matrices, the upper and lower bounds on rigidity are known to match [13]. In this short note, we apply these techniques to the allones extended lower triangular matrices, to obtain upper and lower bounds with a small gap between the two; we show that the rigidity is θ( 2 r ).

متن کامل

A note on computing the inverse of a triangular Toeplitz matrix

Using trigonometric polynomial interpolation, a fast and effective numerical algorithm for computing the inverse of a triangular Toeplitz matrix with real numbers has been recently proposed [Lin et al., Theor Comp Sci 315: 511–523, 2004]. The complexity of the algorithm is two fast Fourier transforms (FFTs) and one fast cosine transform (DCT) of 2n-vectors. In this paper, we present an algorith...

متن کامل

Uniform bounds on the 1 - norm of the inverse of lower triangular Toeplitz matrices ∗

A uniform bound of the 1−norm is given for the inverse of lower triangular Toeplitz matrices with nonnegative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints. This result is then employed to throw light upon a long standing open problem posed by Brun-ner concerning the convergence of the one-point collocation method for the Abel's...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied Mathematics and Computation

سال: 2012

ISSN: 0096-3003

DOI: 10.1016/j.amc.2012.06.060