Let A be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation AXA=XAX. We first obtain a system of matrix equations of smaller sizes to find all the solutions of the original matrix equation. When A is a nilpotent matrix with rank 1 and rank 2, we get all solutions of the Yang–Baxter-like matrix equation
Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that detQ...
Let A be an idempotent matrix. We obtain an explicit expression for all the solutions of the quadrat...
The Yang-Baxter-like matrix equation AXA = XAX is reconsidered, and an infinite number of solutions ...
Let A be a nilpotent matrix of index three and consider the Yang–Baxter-like matrix equation AXA=XAX...
Let A be a nilpotent matrix of index three and consider the Yang–Baxter-like matrix equation AXA=XAX...
Let A = pq(T), where p and q are two nonzero n-dimensional complex vectors. We solve the quadratic m...
Let A = pq(T), where p and q are two nonzero n-dimensional complex vectors. We solve the quadratic m...
We reduce the problem of solving the Yang-Baxter-like matrix equation AXA = XAX, where A is a rank-o...
Let A be a square matrix satisfying A3 = A. We find all solutions of the Yang-Baxter matrix e...
Given a complex idempotent matrix A, we derive simple, sufficient and necessary conditions for a mat...
Let u and v be two n-dimensional vectors in the complex field such that v(T)u not equal 0, and let A...
Let u and v be two n-dimensional vectors in the complex field such that v(T)u not equal 0, and let A...
Let u and v be two n-dimensional vectors in the complex field such that v(T)u not equal 0, and let A...
AbstractWe study the matrix equation XA−AX=Xp in Mn(K) for 1<p<n. It is shown that every matrix solu...
Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singu...
Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that detQ...
Let A be an idempotent matrix. We obtain an explicit expression for all the solutions of the quadrat...
The Yang-Baxter-like matrix equation AXA = XAX is reconsidered, and an infinite number of solutions ...
Let A be a nilpotent matrix of index three and consider the Yang–Baxter-like matrix equation AXA=XAX...
Let A be a nilpotent matrix of index three and consider the Yang–Baxter-like matrix equation AXA=XAX...
Let A = pq(T), where p and q are two nonzero n-dimensional complex vectors. We solve the quadratic m...
Let A = pq(T), where p and q are two nonzero n-dimensional complex vectors. We solve the quadratic m...
We reduce the problem of solving the Yang-Baxter-like matrix equation AXA = XAX, where A is a rank-o...
Let A be a square matrix satisfying A3 = A. We find all solutions of the Yang-Baxter matrix e...
Given a complex idempotent matrix A, we derive simple, sufficient and necessary conditions for a mat...
Let u and v be two n-dimensional vectors in the complex field such that v(T)u not equal 0, and let A...
Let u and v be two n-dimensional vectors in the complex field such that v(T)u not equal 0, and let A...
Let u and v be two n-dimensional vectors in the complex field such that v(T)u not equal 0, and let A...
AbstractWe study the matrix equation XA−AX=Xp in Mn(K) for 1<p<n. It is shown that every matrix solu...
Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singu...
Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that detQ...
Let A be an idempotent matrix. We obtain an explicit expression for all the solutions of the quadrat...
The Yang-Baxter-like matrix equation AXA = XAX is reconsidered, and an infinite number of solutions ...
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